Probability

Problem 401

A box contains only pink, blue and orange pencils. A pencil is chosen at random from the box. The probabilities of picking a pink pencil and picking a blue pencil are $\begin{array}{l} P(\text { pink })=21.4 \% \\ P(\text { blue })=17.3 \% \end{array}$
Calculate $P$ (pink or orange). Give your answer as a percentage (\%).

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Problem 402

The army of a certain country fired 1500 missiles. The probability that a fired missile will hit a critical infrastructure target is 1.8 per mille. Determine the (exact!) probability that at least two missiles will hit critical infrastructure targets. Please provide the result rounded to at least FOUR decimal digits.

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Problem 403

Part 1 of 4
Catherine plays a game where she draws one card from a well-shuffled standard deck of 52 cards . She wins the game if the card she draws is a King or a Heart.
For this problem, let: - $\boldsymbol{K}=$ Catherine draws a King. - $\boldsymbol{\nabla}=$ Catherine draws a Heart. $P(K \text { AND } \boldsymbol{\nabla})=$ $\square$ Submit Part

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Problem 404

t distribution
Use the ALEKS calculator to solve the following problems. (a) Consider a $t$ distribution with 29 degrees of freedom. Compute $P(t \geq 1.26)$ . Round your answer to at least three decimal places. $P(t \geq 1.26)=0.103$ (b) Consider a $t$ distribution with 23 degrees of freedom. Find the value of $c$ such that $P(-c<t<c)=0.90$ . Round your answer to at least three decimal places. $c=\square$

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Problem 405

user of media?
83. First serve Tennis great Andy Murray made $60 \%$ of his pg 342 first serves in a recent season. When Murray made his first serve, he won $76 \%$ of the points. When Murray missed his first serve and had to serve again, he won only $54 \%$ of the points. ${ }^{21}$ Suppose you randomly choose a point on which Murray served. You get distracted before seeing his first serve but look up in time to see Murray win the point. What's the probability that he missed his first serve?

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Problem 406

14. Cell phones and surveys II The survey by the National Center for Health Statistics further found that $71 \%$ of adults ages 25-29 had only a cell phone and no landline. We randomly select four 25-29-year-olds: a) What is the probability that all of these adults have only a cell phone and no landline? b) What is the probability that none of these adults have only a cell phone and no landline? c) What is the probability that at least one of these adults has only a cell phone and no landline?

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Problem 407

You pick a card at random. Without putting the first card back, you pick a second card at random.
1 2 3 4
What is the probability of picking a 1 and then picking a factor of $24 ?$ Write your answer as a percentage. $\square$ \% Submit

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Problem 408

You pick a card at random, put it back, and then pick another card at random. 6 7 8 9
What is the probability of picking a prime number and then picking an odd number? Write your answer as a percentage. $\square$ \%

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Problem 409

You spin the spinner twice.
What is the probability of landing on an even number and then landing on an $8 ?$ Write your answer as a percentage rounded to the nearest tenth. $\square$ \% Submit

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Problem 410

You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an odd number and then picking an odd number? Simplify your answer and write it as a fraction or whole number

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Problem 411

$P(B \mid D)=0.55$ $\begin{array}{ll} P(D)=0.4 \\ P(\bar{B} \mid D)=0.45 & P(D \cap \bar{B})=0.18 \\ P(\bar{D})=0.6] & P(\bar{D} \cap B)=0.35 \\ P(\bar{B} \mid \bar{D})=\square \end{array}$

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Problem 412

Suppose that $\chi^{2}$ follows a chi-square distribution with 12 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute $P\left(8 \leq \chi^{2} \leq 18\right)$ . Round your answer to at least three decimal places. $P\left(8 \leq \chi^{2} \leq 18\right)=$ $\square$ (b) Find $k$ such that $P\left(\chi^{2}>k\right)=0.05$ . Round your answer to at least two decimal places. $k=\square$

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Problem 413

Try Again (a): Your answer is incorrect.
Suppose that $\chi^{2}$ follows a chi-square distribution with 10 degrees of freedom. Use the ALEKS calculator to answer the following. (a) Compute $P\left(\chi^{2} \leq 1 \%\right)$ . Round your answer to at least three decimal places. $P\left(\chi^{2} \leq 13\right)=0.767$ (b) Find $k$ such that $P\left(\chi^{2} \geq k\right)=0.1$ . Round your answer to at least two decimal places. $k=15.99$

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Problem 414

In a sample of 800 U.S. adults, 210 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models.
The probability that both adults think most celebrities are good role models is 0.069 . (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models.
The probability that neither adult thinks most celebrities are good role models is 0.544 (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models.
The probability that at least one of the two adults thinks most celebrities are good role models is 0.456 .

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Problem 415

BOOKMARK CHECK ANSWER
Use the two-way frequency table below to answer questions \begin{tabular}{|l|l|l|l|} \hline & Android & iPhone & Total \\ \hline $7^{\text {th }}$ Grade & 45 & 47 & 92 \\ \hline $8^{\text {th }}$ Grade & 40 & 55 & 95 \\ \hline Total & 85 & 102 & 187 \\ \hline \end{tabular}
3 What is the relative frequency of someone having an iPhone and being in the $8^{\text {th }}$ grade? Round the nearest tenth of a percent. (a) Do NOT type in the percent sign $\square$ (b) What is the relative frequency of an android user being in the $7^{\text {th }}$ grade? Round the nearest tenth of a percent.
Do NOT type in the percent sign $\square$ (c) What is the relative frequency of a student being in the $7^{\text {th }}$ grade? Round the nearest tenth of a percent.
Do NOT type in the percent sign $\square$ NEXT Next

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Problem 416

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town \begin{tabular}{lcccc} Televisions & 0 & 1 & 2 & 3 \\ Households & 22 & 449 & 720 & 1402 \end{tabular} (a) Use the frequency distribution to construct a probability distribution. \begin{tabular}{ll} $\mathbf{x}$ & $\mathrm{P}(\mathrm{x})$ \\ 0 & $\square$ \\ 1 & $\square$ \\ 2 & $\square$ \\ 3 & $\square$ \end{tabular} (Round to three decimal places as needed.)

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Problem 417

Internet sites often vanish or move, so that references to them can't be followed. In fact, $13 \%$ of Internet sites referred to in major scientific journals are lost within two years of publication. Suppose we randomly select 7 Internet references from scientific journals. (a) Find the probability that all 7 references still work two years later. (Round to 4 decimal places. Leave your answer in decimal form.) $\square$ (b) What's the probability that at least 1 of them doesn't work two years later? (Round to 4 decimal places. Leave your answer in decimal form.) $\square$

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Problem 418

Thirty-nine percent of U.S. adults have very little confidence in newspapers. You randomly select ten U.S. adults. Find the probability that the number who have very little confidence in newspapers is (a) exactly seven and (b) exactly three. (a) The probability that the number who have very little confidence in newspapers is exactly seven is (Round to three decimal places as needed.) $\square$

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Problem 419

$\text{Find the probability that a randomly selected car from this sample had 2 doors or 4 doors.}$
$\text{Extracted text from attached image:}$ \begin{align} \text{2 doors} \\ \text{Sunroof} \\ 18 \\ 13 \\ 20 \\ 0 \\ 14 \\ 25 \\ 0 \\ 10 \\ \text{4 doors} \end{align}

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Problem 420

$58 \%$ of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (a) exactly five, (b) at least six, and (c) less than four. (a) $P(5)=0.216$ (Round to three decimal places as needed.) (b) $P(x \geq 6)=$ $\square$ (Round to three decimal places as needed.)

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Problem 421

ii) $X=\{0,1,2,3,4,5\}$ ialah satu pemboleh ubah rawak diskret dengan kebarangkaliannya ditunjukkan seperti dalam jadual berikut. $X=\{0,1,2,3,4,5\}$ is a discrete random variable with its probabilities as shown in the following table. \begin{tabular}{|c|c|c|c|c|c|c|} \hline $X=r$ & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline $P(X=r)$ & $m$ & $m$ & $m-n$ & $2 m$ & $n$ & $n$ \\ \hline \end{tabular}
Jika $n=2 m$ , cari nilai $m$ dan nilai $n$ . If $n=2 m$ , find the value of $m$ and of $n$ . $x=\{0,1,2,3\}$ [3 markah / 3 marks]

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Problem 422

Correct
A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 4 years.
If the claim is true, in a sample of 42 wall clocks, what is the probability that the mean clock life would be greater than 15.1 years? Round your answer to four decimal places.
Answer

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Problem 423

According to the New York State Board of Law Examiners, approximately 66\% of people taking the New York Bar Exam passed the exam.
1. If 14 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $75 \%$ have passed? Round your answer to 4 decimal places. $\square$
2. If 44 people who have taken the New York Bar Exam are randomly selected, what is the probability that at least $75 \%$ have passed? Round your answer to 4 decimal places. $\square$

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Problem 424

Labor force participation among women rose in the United States between 1975 and 2000 and has beeen declining ever since. According to the U.S. Bureau of Labor Statistics, $55 \%$ of women were in the labor force in 2015.
1. If 60 working age women are randomly selected, what is the probability that between $52 \%$ and $60 \%$ are in the labor force? Round your answer to 4 decimal places. $\square$
2. If 190 working age women are randomly selected, what is the probability that between $52 \%$ and $60 \%$ are in the labor force? Round your answer to 4 decimal places. $\square$
3. Why did the probability increase? The probability increased since the sample size increased and the distribution of sample proportions is more spread out. The probability increased since the sample size increased and the sample proportions are more concentrated near the true labor force participation rate of $55 \%$ .

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Problem 425

В столовой 15 пирожков с яблоком, 18 пирожков с вишней и 7 пирожков с малиной. Саша берёт пирожок наугад. Определи, какова вероятность, что Саша возьмёт пирожок с малиной. Запиши число в поле ответа.

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Problem 426

4. When rolling two dice, the probability of rolling doubles is $1 / 6$ . Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.
1 2 3 4 11.6\% 1.6\% 98.4\% 88.4\% Angelina Piazza

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Problem 427

Let $X$ be a random variable describing the weekly income of a worker from a given factory, with a cumulative distribution function of $F(t)=\left\{\begin{array}{ll} 0 & \text { for } t<200 \\ c t^{2}(1500-t) & \text { for } 200 \leqslant t<1000 \\ 1 & \text { for } t \geqslant 1000 \end{array}\right.$ where $c=2 \cdot 10^{-9}$ . Calculate the mean income of a worker.

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Problem 428

At a certain restaurant, there is a $70 \%$ probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers? 70.5\% $5.0 \%$ 70\% $30.3 \%$ Angelina Piazza

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Problem 429

ditional Probability from a Table ore: 0/5 Penalty: 1 off
Question Show Examples
In a class of students, the following data table summarizes how many students have a cat or a dog. What is the probability that a student who has a dog also has a cat? \begin{tabular}{|c|c|c|} \hline & Has a cat & Does not have a cat \\ \hline Has a dog & 7 & 10 \\ \hline Does not have a dog & 2 & 9 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 430

Conditional Probability from a Table Score: 1/5 Penalty: 1 off
Question Show Examples
In a class of students, the following data table summarizes the gender of the students and whether they have an A in the class. What is the probability that a student has an A given that the student is female? \begin{tabular}{|c|c|c|} \hline & Female & Male \\ \hline Has an A & 4 & 2 \\ \hline Does not have an A & 5 & 19 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 431

Question Which of these contexts describes a situation that is unlikely?
Answer Rolling a 5 on a standard six-sided die, numbered from 1 to 6 .
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on blue or green. e) Winning a raffle that sold a total of 100 tickets if you bought 99 tickets.
Reaching into a bag full of 5 strawberry chews and 15 cherry chews without looking and pulling out a strawberry or a cherry chew.

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Problem 432

Conditional Probability from a Table Score: $2 / 5$ Penalty: 1 off
Question Show Examples
In a class of students, the following data table summarizes how many students have a brother a sister. What is the probability that a student has a brother given that they have a sister? \begin{tabular}{|c|c|c|} \hline & Has a brother & Does not have a brother \\ \hline Has a sister & 3 & 20 \\ \hline Does not have a sister & 2 & 4 \\ \hline \end{tabular}
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 433

Conditional Probability from Table (L2) Score: 0/5 Penalty: 1 off Show Examples
Question The following table represents the highest educational attainment of all adult residents in a certain town. If a resident who has only completed high school is chosen at random, what is the probability that they are aged 50 or over? Round your answer to the nearest thousandth. \begin{tabular}{|c|c|c|c|c|c|} \hline & Age 20-29 & Age 30-39 & Age 40-49 & Age 50 \& over & Total \\ \hline High school only & 1377 & 505 & 594 & 1053 & 3529 \\ \hline Some college & 750 & 670 & 975 & 943 & 3338 \\ \hline Bachelor's degree & 1582 & 1059 & 1269 & 609 & 4519 \\ \hline Master's degree & 633 & 842 & 443 & 605 & 2523 \\ \hline Total & 4342 & 3076 & 3281 & 3210 & $\mathbf{1 3 9 0 9}$ \\ \hline \end{tabular}

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Problem 434

В столовой 14 пирожков с яблоком, 19 пирожков с вишней и 17 пирожков с малиной. Саша берёт пирожок наугад. Определи, какова вероятность, что Саша возьмёт пирожок с яблоком. Запиши число в поле ответа.

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Problem 435

Probability from a Two Way Table Score: 0/5 Penalty: 1 off
Question Show Examples
In a class of students, the following data table summarizes how many students passed a test a complete the homework due the day of the test. What is the probability that a student chosen randomly from the class passed the test or completed the homework? \begin{tabular}{|c|c|c|} \hline & Passed the test & Failed the test \\ \hline Completed the homework & 17 & 2 \\ \hline Did not complete the homework & 3 & 4 \\ \hline \end{tabular}
Answer Attempt 2 out of 2 0.846 $\square$ Submit Answer

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Problem 436

The table gives a set of outcomes and their probabilities. Let $A$ be the event "the outcome is greater than or equal to 4 ". Let $B$ be the event "the outcome is greater than or equal to 2 ". Find $P(A \mid B)$ . \begin{tabular}{|c|c|} \hline Outcome & Probability \\ \hline 1 & 0.2 \\ \hline 2 & 0.2 \\ \hline 3 & 0.3 \\ \hline 4 & 0.3 \\ \hline \end{tabular} $\square$

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Problem 437

In an experiment, the probability that event $A$ occurs is $\frac{3}{4}$ , the probability that event $B$ occurs is $\frac{1}{5}$ , and the probability that event $A$ occurs given that event $B$ occurs is $\frac{1}{8}$ .
Are $A$ and $B$ independent events? yes no

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Problem 438

viden (3)
The tribie gives a set of qutcomes and theit prothebilites, let 2 be the event "the cutcome is \begin{tabular}{|c|c|} \hline Cukerme & Brechasivitios \\ \hline 1 & 9.25 \\ \hline 2 & Q.06 \\ \hline 3 & a.at \\ \hline 4 & 0.16 \\ \hline 5 & 0.26 \\ \hline 6 & 0.15 \\ \hline 7 & (1.122 \\ \hline 8 & 0.19 \\ \hline \end{tabular} $\square$

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Problem 439

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 . What is the probability that a randomly chosen person's IQ score will be less than 66 , to the nearest thousandth?
Statistics Calculator

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Problem 440

Watch your cholesterol: The mean serum cholesterol level for U.S. adults was 200 , with a standard deviation of 40 (the units are milligrams per deciliter). A simple random sample of 108 adults is chosen. Use Excel. Round the answers to at least four decimal places.
Part: $0 / 3$
Part 1 of 3 (a) What is the probability that the sample mean cholesterol level Agreater than 208 ?
The probability that the sample mean cholesterol level is greater than 208 is $\square$ 7.

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Problem 441

-- Probability: Expected Value Definition: expected value An expected value is an "average" value, calculated in the following way. Supposed the possible values of a variable are $a, b, c$ , etc., with probabilities $P(a), P(b), P(c)$ , etc. $\text { Expected Value }=a \cdot P(a)+b \cdot P(b)+c \cdot P(c)+\cdots$
In words: multiply each outcome by its probability, then take those products and add them. Example of calculating an expected value: Each night, your best friend phones you either 1, 2, or 3 times. There is a $35 \%$ of getting one call, a $40 \%$ chance of getting two calls, and a $25 \%$ chance of getting three calls. What is the expected number of phone calls? $\begin{aligned} \text { Expected value } & =1 \cdot P(1 \text { call })+2 \cdot P(2 \text { calls })+3 \cdot P(3 \text { calls }) \\ & =1 \cdot 0.35+2 \cdot 0.40+3 \cdot 0.25=1.9 \end{aligned}$
So, on average, you can expect to get 1.9 calls per night.
Problems:
1. Consider the number of loudspeaker announcements per day at school. Suppose there's a $15 \%$ chance of having 0 announcements, a $30 \%$ chance of having 1 announcement, a $25 \%$ chance of having 2 announcements, a 20\% chance of having 3 announcements, and a 10\% chance of having 4 announcements. Find the expected value of the number of announcements per day.

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Problem 442

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a jack?
The probability of drawing a jack is $\frac{4}{13}$ (Type an integer or a simplified fractions)

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Problem 443

There is a 70\% chance that a person eats dinner, a $50 \%$ chance a person eats dessert and a 35\% chance the person will eat dinner and dessert. Which of the following is true? A. Eating dinner and eating dessert are independent events because $P$ (dinner) $P$ (dessert) $=0.7-0.5=0.35$ which is equal to $P($ dinner and dessert $)=0.35$ . B. Eating dinner and eating dessert are dependent events because $P($ dinner $)-P($ dessert $)=0.7-0.5=0.2$ which is less than $P($ dinner and desset $)=0.35$ . C. Eating dinner and eating dessert are dependent events because $P$ (dinner) $\cdot P($ dessert $)=0.7 .0 .5=0.35$ which is equal to $P($ dinner and dessert $)=0.35$ . D. Eating dinner and eating dessert are independent events because $P$ (dinner) $-P($ dessert $)=0.7-0.5=0.2$ which is less than $P($ dinner and de ssert $)=0.35$ .

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Problem 444

Melinda buys one raffle ticket at the Spring Fling since there is one $\$ 1000$ prize, one $\$ 500$ prize, and five $\$ 100$ prizes. There were a total of 500 tickets sold at $\$ 10$ each.
Part: $0 / 2$ $\square$
Part 1 of 2 (a) What is Melinda's expectation?
Melinda's expectation is $\square$ dollars.

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Problem 445

If a 60 year-old buys a $\$ 1000$ life insurance policy at a cost of $\$ 80$ and has a probability of 0.914 of living to age 61 , find the expectation of the policy until the person reaches 61 . Round your answer to the nearest cent.
The expectation of the policy until the person reaches 61 is $\square$ dollars.

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Problem 446

Show Examples
If the probability that the Islanders will beat the Rangers in a game is 0.84 , what is the probability that the Islanders will win exactly four out of seven games in a series against the Rangers? Round your answer to the nearest thou! andth.

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Problem 447

If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 1 heads?

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Problem 448

I'm sorry, but I can't assist with that request.

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Problem 449

Does addition rule 1 (for mutually exclusive events) only apply to two events? Explain.
Addition rule 1 $\square$ be used for more than two events. Simply add the probabilities, since the events (Choose one) $\square$ occur at the same time.

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Problem 450

online designer clothing marketplace purchases items from Kenneth Cole, Michael Kors and Vera Wang. The most recent purchases e shown here: \begin{tabular}{|c|c|c|c|} \hline Product & \begin{tabular}{c} Kenneth \\ Cole \end{tabular} & \begin{tabular}{c} Michael \\ Kors \end{tabular} & \begin{tabular}{c} Vera \\ Wang \end{tabular} \\ \hline Dresses & 51 & 37 & 10 \\ \hline Jeans & 75 & 71 & 11 \\ \hline \end{tabular} f one item is selected at random, find these probabilities, expressed as reduced fractions:
Part 1 of 3 (a) It was purchased from Kenneth Cole or it is a dress.
The probability that the item selected was purchased from Kenneth Cole or is a dress is $\frac{173}{255}$ .
Part: $1 / 3$
Part 2 of 3 (b) It was purchased from Michael Kors or Vera Wang.
The probability that the item selected was purchased from Michael Kors or Vera Wang is

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Problem 451

In a dice game, you begin by rolling three dice. Find the following probabilities. Express your answers as simplified fractions. Part: $0 / 3$
Part 1 of 3 $P($ All three dice show 4 $)=$ $\square$

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Problem 452

A deck of cards is randomly dealt by the computer during a game of Spider Solitaire. Find the probability (as a reduced fraction) the first card dealt is
Part: $0 / 3$ $\square$
Part 1 of 3 (a) An 8 or a heart.
The probability that the first card dealt is an 8 or a heart is $\square$

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Problem 453

An ice cream inspector inspects samples of ice cream to see if they are safe. This can be thought of as a hypothesis test with the following hypotheses. $\mathrm{H}_{0}$ : the ice cream is safe $H_{a}$ : the ice cream is not safe
The following is an example of what type of error?
The sample suggests that the ice cream is safe, but it actually is not safe. type I type II not an error

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Problem 454

False
A bag contains three red and five green marbles. A hypergeometric * 1 point distribution could be generated representing the probability of the number of red marbles in a handful of four marbles. True False Next Page 1 of 2 Clear form This form was created inside of Toromto Catholic District School Board. ReportAbuse Google Forms

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Problem 455

Get an education: A survey asked 32,177 people how much confidence they had in educational institutions. The results were as follows. Round your Español answers to four decimal places if necessary. \begin{tabular}{lr} \hline \multicolumn{1}{c}{ Response } & Number \\ \hline A great deal & 10,052 \\ Some & 17,871 \\ Hardly any & 4254 \\ \hline Total & 32,177 \end{tabular} Send data to Excel
Part: $0 / 3$
Part 1 of 3 (a) What is the probability that a sampled person has either some or hardly any confidence in educational institutions?
The probability that a sampled person has either some or hardly any confidence in educational institutions is $\square$

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Problem 456

\text{What is the probability that the archer will miss the bullseye both times?} \\ \text{(Enter your answer as a decimal rounded to four decimal places.)} \\
\text{Probability a bullseye is missed twice: } \square \\
\text{Given:} \\ \text{Probability of hitting the bullseye (B): } 94\% \\ \text{Probability of missing the bullseye (NB): } 6\% \\

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Problem 457

$10 / 25$
Eva flips a coin. If she gets heads, she wins $\$ 4$ . If she gets tails, she loses $\$ 3$ . What is her expected value of a coin flip? \ $0 \$1$ \ $0.50$ -\$0.50

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Problem 458

What is the probability of randomly selecting the correct answer: A: $25\%$ , B: $0\%$ , C: $50\%$ , D: $25\%$ ?

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Problem 459

Find the probability density function of a normal distribution with mean 1 and standard deviation $\frac{1}{2}$ .

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Problem 460

Find the probability that a computer has an internet speed > 8.7 Mbps, given mean = 5.5 Mbps, SD = $1.6 \mathrm{Mbps}$ .

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Problem 461

Find the percentage of aloe vera plants with heights between $8.0 \mathrm{~cm}$ and $13.2 \mathrm{~cm}$ , given average $10.6 \mathrm{~cm}$ and SD $1.3 \mathrm{~cm}$ .

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Problem 462

Find the percentage of blood samples with coagulation time > 16.5 minutes, given mean = 10 min, SD = 6.5 min.

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Problem 463

A scientist tests guava's effectiveness in filtering waste water. What is the probability that it absorbs more than $80 \mathrm{ppm}$ ?

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Problem 464

Find the probability that more than $0.03 \mathrm{~g}$ of steel is lost, given an average loss of $0.06 \mathrm{~g}$ and a standard deviation of $0.015 \mathrm{~g}$ .

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Problem 465

An urn has $w$ white, $b$ black, and $r$ red balls. Find the probability of drawing a white ball before a black ball for: a) replacement; b) no replacement.

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Problem 466

Bình gieo xúc sắc 100 lần. Tính xác suất số chấm chẵn và số chấm lớn hơn 2 từ kết quả: 1: 15, 2: 20, 3: 18, 4: 22, 5: 10, 6: 15.

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Problem 467

Find the probability density function of a normal distribution with mean 1 and standard deviation $\frac{1}{2}$ .

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Problem 468

Find the probability that a computer's internet speed exceeds 8.7 Mbps, given an average of 5.5 Mbps and a standard deviation of $1.6 \mathrm{Mbps}$ .

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Problem 469

Find probabilities for lemonade consumption: more than 21 gallons, less than 19 gallons, and between 20-25 gallons. Also, find sodium probabilities for dinners and construct a confidence interval for garlic's effect on cholesterol.

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Problem 470

Find probabilities for lemonade consumption: a) > 21 gallons, b) < 19 gallons, c) between 20 and 25 gallons. For sodium: a) > 670 mg in one dinner, c) mean > 670 mg in 10 dinners. Also, estimate the mean LDL cholesterol change from garlic treatment.

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Problem 471

Em uma amostra, 40% tiveram A, 20% tiveram B e 5% ambas. Qual a porcentagem que morreu sem A nem B?

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Problem 472

801 adults were surveyed on drink preferences. Find the probabilities for tea, coffee, and age groups. Are events disjoint?

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Problem 473

3.- Identity theft and probabilities: a) Find the chance of randomly getting your 9-digit social security number. b) If someone knows the last 4 digits, what's the chance the other digits match yours?
4.- Binomial Distribution: For a 25% belief in death penalty reducing homicides among 8 police chiefs, find: a) Probability exactly 5 believe this. b) Probability at least 2 believe this.
Also, for a class of 75 with a 12% absentee rate, find the mean, variance, and standard deviation of absentees.

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Problem 474

1. Find the probability of randomly generating a 9-digit SSN that matches yours and if the last 4 digits are known.
2. In a sample of 8 police chiefs, find the probability that exactly 5 believe the death penalty reduces homicides and at least 2 do.
3. For a class of 75 with a 12% absentee rate, calculate the mean, variance, and standard deviation of absent students.

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Problem 475

1. For a football team with mean 20 gallons and SD 3, find probabilities for: a) >21, b) <19, c) between 20-25 gallons.
2. For a low-salt dinner with mean 660 mg sodium and SD 35 mg, find probabilities for: a) >670 mg, c) sample mean >670 mg for 10 dinners.
3. For garlic treatment on 47 subjects, mean LDL change is 3.2 and SD is 18.6. What is the best point estimate of the mean?

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Problem 476

Find $P(C)$ given $P(A$ or $C)=\frac{7}{10}$ , $P(A$ and $C)=\frac{2}{5}$ , and $2P(B$ and $C)=P(A$ and $C)$ . Also, find the probability that A, B, or C do NOT occur.

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Problem 477

비행기 승객 중 남자인 경우, 한국인일 확률은? 선택지: (1) $\frac{1}{17}$ (2) $\frac{2}{17}$ (3) $\frac{3}{17}$ (4) $\frac{4}{17}$ (5) $\frac{5}{17}$

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Problem 478

Find the median speed of 510 vehicles with mean $99 \mathrm{~km/h}$ and std dev $9 \mathrm{~km/h}$ . What % travel < $117 \mathrm{~km/h}$ ?

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Problem 479

Binomial Distribution: For 8 police chiefs with a $25\%$ belief in the death penalty's effect, find: a. P(exactly 5 believe) b. P(at least 2 believe)
Also, for a class of 75 with a $12\%$ absentee rate, find mean, variance, and standard deviation of absentees.

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Problem 480

求车程时间 $T$ 的分布列与期望 $E(T)$ ，并计算刘教授往返时间不超120分钟的概率。

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Problem 481

Calcola la probabilità di estrarre 1 pallina bianca e 2 nere da un'urna con 5 bianche e 3 nere. Opzioni: A $\frac{15}{32}$ , B $\frac{15}{56}$ , C $\frac{17}{32}$ , D $\frac{5}{56}$ .

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Problem 482

Lancia due dadi e calcola la probabilità per: a. numeri uguali; b. numeri dispari; c. numeri primi; d. uno pari e uno dispari.

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Problem 483

Un'urna ha 9 palline numerate da 1 a 9. Calcola le probabilità di: a) pari poi dispari; b) pari e dispari; c) entrambe dispari.

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Problem 484

Calcola le probabilità per un'urna con 9 palline numerate: a) pari poi dispari; b) pari e dispari; c) entrambe dispari. Poi calcola: a) entrambe prime; b) entrambe non prime; c) una prima e una non prima.

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Problem 485

Un'urna ha 9 palline numerate da 1 a 9. Calcola la probabilità che: a) entrambe siano prime; b) entrambe non siano prime; c) una sia prima e l'altra non prima.

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Problem 486

1.- Given mean blood pressure is 120 mmHg and SD is 5.6. Find z-scores and sketch normal curves. a. Find P(120 < X < 121.8) b. Find P(120 < \bar{X} < 121.8) for a sample of 30.

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Problem 487

In a poll of 400 parents, $20 \%$ had a high income. Fifty high-income parents oppose school vouchers. Vouchers are supported by 200 low-income parents. Hint: Create a contingency table using the data provided. (Enter your answer as a fraction or a decimal rounded to two decimal places.) What is $P$ (oppose vouchers | high income)? (That is, what is the probability that a parent opposes vouchers, given that the parent has a high income?) $P($ oppose vouchers $\mid$ high income $)=$ $\square$
What is $P$ (hysh income | oppose vouchers)? (That is, what is the probability that a parent has a high income, given that the parent opposes vouchers?) $P($ high income $\mid$ oppose vouchers $)=$ $\square$
What is the probability that a parent has high income or opposes vouchers?

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Problem 488

A board game involves tossing a fair, regular die (with $1,2,3,4,5$ , and 6 dots on the faces) and moving the number of spaces indicated by the number of dots. If the die is tossed many times, what is the expected value of the number of spaces to be moved? (Round your answer to one decimal place if applicable.) expected Value: $\square$
What does that mean in context? This means that with a large number of tosses, the average number of spaces moved is 3.5 . This means that the most likely dice roll will be about 3.5 . This means the number of spaces moved the next time the die is rolled will probably be around 3.5 . The average number of spaces moved is 3.5 .

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Problem 489

Part: 1 / $\mathbf{2}$
Part 2 of 2 (b) Find $x$ when $z=1.5, \mu=89$ , and $\sigma=14$ . $x=$

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Problem 490

Based on past experience, a bank believes that $9 \%$ of the people who receive loans will not make payments on time. The bank has recently approved 200 loans.
What are the mean and standard deviation of this model? mean = $\square$ standard deviation (accurate to 3 decimal places) = $\square$
What is the probability that over $10 \%$ of these clients will not make timely payments? $\square$

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Problem 491

A committee has six members. There are three members that currently serve as the board's chairman, vice chairman, and treas Each member is equally likely to serve in any of the positions. Three members are randomly selected and assigned to be the ne chairman, vice chairman, and treasurer. What is the probability of randomly selecting the three members who currently hold the positions of chairman, vice chairman, and treasurer and reassigning them to their current positions?
The probability is $\square$

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Problem 492

4. What is the probability of guessing the correct answer to a true-false question?

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Problem 493

Score on last try: 0 of 4 pts. See Details for more. $\square$ Next question You can retry this question below
A certain disease has an incidence rate of $0.6 \%$ . If the false negative rate is $8 \%$ and the false positive rate is $5 \%$ , compute the probability that a person who tests positive actually has the disease. $\square$ Give your answer accurate to at least 3 decimal places Submit Question

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Problem 494

Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
Taking painting classes more often is associated with going to art supply stores more often.
Spending more money on sketchbooks is associated with visiting photo galleries more often.
Visiting art museums more often is associated with seeing sculptures more often.

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Problem 495

Videc
Each of these relationships reflects a correlation. Which relationship most likely reflects correlation but not causation?
Wearing sunglasses more often is associated with showering more often.
Working out more often is associated with showering more often.
Mowing the lawn more often is associated with showering more often.

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Problem 496

According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg . Assume that blood pressure is normally distributed.
Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000 . a) State the random variable.
Select an answer b) Find the probability that a randomly selected person in China has a blood pressure of 181.3 mmHg or more. c) Find the probability that a randomly selected person in China has a blood pressure of 185 mmHg or less. $\square$ d) Find the probability that a randomly selected person in China has a blood pressure between 181.3 and 185 mmHg . e) Find the probability that randomly selected person in China has a blood pressure that is at most 70.5 mmHg . f) Is a blood pressure of 70.5 mmHg unusually low for a randomly selected person in China?
Why or why not? $\qquad$ g) What blood pressure do $55 \%$ of all people in China have less than?
Round your answer to two decimal places in the first box. Put the correct units in the second box. $\square$

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Problem 497

The average waist size for teenage males is 29 inches with a standard deviation of 14 inch. If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31.8 inches?

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Problem 498

16/25
Name a situation in real life that you could use expected value on. placing bets sports carnival games all of the above
Got stuck? Use 50-50 to cut down on options. No, thanks Use power-up Kirsten J

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Problem 499

In a large clinical trial, 398,307 children were randomly assigned to two groups. The treatment group consisted of 197,816 children given a vaccine for a certain disease, and 37 of those children developed the disease. The other 200,491 children were given a placebo, and 146 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of $n_{1}, \hat{p}_{1}, \hat{q}_{1}, n_{2}, \hat{p}_{2}, \hat{q}_{2}, \bar{p}$ , and $\bar{q}$ . $\mathrm{n}_{1}=\square$

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Problem 500

66 A pair of fair and ordinary dice is rolled simultaneously. It is found that they show different outcomes. The probability that the sum of the outcomes will be either 4 or 6 or 8 is equal to

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You pick a card at random. Without putting the first card back, you pick a second card at random.1 2 3 4What is the probability of picking a 1 and then picking a factor of 24?24 ?24? Write your answer as a percentage. □\square□ \% Submit

Problem 408

You pick a card at random, put it back, and then pick another card at random. 6 7 8 9What is the probability of picking a prime number and then picking an odd number? Write your answer as a percentage. □\square□ \%

Problem 409

You spin the spinner twice.What is the probability of landing on an even number and then landing on an 8?8 ?8? Write your answer as a percentage rounded to the nearest tenth. □\square□ \% Submit

Problem 410

You pick a card at random. Without putting the first card back, you pick a second card at random.What is the probability of picking an odd number and then picking an odd number? Simplify your answer and write it as a fraction or whole number

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4. When rolling two dice, the probability of rolling doubles is 1/61 / 61/6. Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.1 2 3 4 11.6\% 1.6\% 98.4\% 88.4\% Angelina Piazza

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At a certain restaurant, there is a 70%70 \%70% probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers? 70.5\% 5.0%5.0 \%5.0% 70\% 30.3%30.3 \%30.3% Angelina Piazza

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In an experiment, the probability that event AAA occurs is 34\frac{3}{4}43​, the probability that event BBB occurs is 15\frac{1}{5}51​, and the probability that event AAA occurs given that event BBB occurs is 18\frac{1}{8}81​.Are AAA and BBB independent events? yes no

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 . What is the probability that a randomly chosen person's IQ score will be less than 66 , to the nearest thousandth?Statistics Calculator

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An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a jack?The probability of drawing a jack is 413\frac{4}{13}134​ (Type an integer or a simplified fractions)

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Show ExamplesIf the probability that the Islanders will beat the Rangers in a game is 0.84 , what is the probability that the Islanders will win exactly four out of seven games in a series against the Rangers? Round your answer to the nearest thou! andth.

Problem 447

If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 1 heads?

Problem 448

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Problem 449

Does addition rule 1 (for mutually exclusive events) only apply to two events? Explain.Addition rule 1 □\square□ be used for more than two events. Simply add the probabilities, since the events (Choose one) □\square□ occur at the same time.

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Problem 451

In a dice game, you begin by rolling three dice. Find the following probabilities. Express your answers as simplified fractions. Part: 0/30 / 30/3Part 1 of 3 P(P(P( All three dice show 4)=)=)= □\square□

Problem 452

A deck of cards is randomly dealt by the computer during a game of Spider Solitaire. Find the probability (as a reduced fraction) the first card dealt isPart: 0/30 / 30/3 □\square□Part 1 of 3 (a) An 8 or a heart.The probability that the first card dealt is an 8 or a heart is □\square□

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10/2510 / 2510/25Eva flips a coin. If she gets heads, she wins $4\$ 4$4. If she gets tails, she loses $3\$ 3$3. What is her expected value of a coin flip? \0$10 \$1 0$1\0.50 0.500.50 -\$0.50

Problem 458

What is the probability of randomly selecting the correct answer: A: 25%25\%25%, B: 0%0\%0%, C: 50%50\%50%, D: 25%25\%25%?

Problem 459

Find the probability density function of a normal distribution with mean 1 and standard deviation 12\frac{1}{2}21​.

Problem 460

Find the probability that a computer has an internet speed > 8.7 Mbps, given mean = 5.5 Mbps, SD = 1.6Mbps1.6 \mathrm{Mbps}1.6Mbps.

You pick a card at random. Without putting the first card back, you pick a second card at random.
1 2 3 4
What is the probability of picking a 1 and then picking a factor of $24 ?$ Write your answer as a percentage. $\square$ \% Submit

You pick a card at random, put it back, and then pick another card at random. 6 7 8 9
What is the probability of picking a prime number and then picking an odd number? Write your answer as a percentage. $\square$ \%

You spin the spinner twice.
What is the probability of landing on an even number and then landing on an $8 ?$ Write your answer as a percentage rounded to the nearest tenth. $\square$ \% Submit

You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an odd number and then picking an odd number? Simplify your answer and write it as a fraction or whole number

4. When rolling two dice, the probability of rolling doubles is $1 / 6$ . Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.
1 2 3 4 11.6\% 1.6\% 98.4\% 88.4\% Angelina Piazza

At a certain restaurant, there is a $70 \%$ probability that the flowers on your table will be yellow. If you are there with a group that is occupying 6 tables, what is the probability that 5 of the tables will have yellow flowers? 70.5\% $5.0 \%$ 70\% $30.3 \%$ Angelina Piazza

In an experiment, the probability that event $A$ occurs is $\frac{3}{4}$ , the probability that event $B$ occurs is $\frac{1}{5}$ , and the probability that event $A$ occurs given that event $B$ occurs is $\frac{1}{8}$ .
Are $A$ and $B$ independent events? yes no

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15 . What is the probability that a randomly chosen person's IQ score will be less than 66 , to the nearest thousandth?
Statistics Calculator

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a jack?
The probability of drawing a jack is $\frac{4}{13}$ (Type an integer or a simplified fractions)

Show Examples
If the probability that the Islanders will beat the Rangers in a game is 0.84 , what is the probability that the Islanders will win exactly four out of seven games in a series against the Rangers? Round your answer to the nearest thou! andth.

Does addition rule 1 (for mutually exclusive events) only apply to two events? Explain.
Addition rule 1 $\square$ be used for more than two events. Simply add the probabilities, since the events (Choose one) $\square$ occur at the same time.

In a dice game, you begin by rolling three dice. Find the following probabilities. Express your answers as simplified fractions. Part: $0 / 3$
Part 1 of 3 $P($ All three dice show 4 $)=$ $\square$

A deck of cards is randomly dealt by the computer during a game of Spider Solitaire. Find the probability (as a reduced fraction) the first card dealt is
Part: $0 / 3$ $\square$
Part 1 of 3 (a) An 8 or a heart.
The probability that the first card dealt is an 8 or a heart is $\square$

$10 / 25$
Eva flips a coin. If she gets heads, she wins $\$ 4$ . If she gets tails, she loses $\$ 3$ . What is her expected value of a coin flip? \ $0 \$1$ \ $0.50$ -\$0.50

What is the probability of randomly selecting the correct answer: A: $25\%$ , B: $0\%$ , C: $50\%$ , D: $25\%$ ?

Find the probability density function of a normal distribution with mean 1 and standard deviation $\frac{1}{2}$ .

Find the probability that a computer has an internet speed > 8.7 Mbps, given mean = 5.5 Mbps, SD = $1.6 \mathrm{Mbps}$ .

Find the percentage of aloe vera plants with heights between $8.0 \mathrm{~cm}$ and $13.2 \mathrm{~cm}$ , given average $10.6 \mathrm{~cm}$ and SD $1.3 \mathrm{~cm}$ .

A scientist tests guava's effectiveness in filtering waste water. What is the probability that it absorbs more than $80 \mathrm{ppm}$ ?

Find the probability that more than $0.03 \mathrm{~g}$ of steel is lost, given an average loss of $0.06 \mathrm{~g}$ and a standard deviation of $0.015 \mathrm{~g}$ .

An urn has $w$ white, $b$ black, and $r$ red balls. Find the probability of drawing a white ball before a black ball for: a) replacement; b) no replacement.

Find the probability density function of a normal distribution with mean 1 and standard deviation $\frac{1}{2}$ .

Find the probability that a computer's internet speed exceeds 8.7 Mbps, given an average of 5.5 Mbps and a standard deviation of $1.6 \mathrm{Mbps}$ .