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ctory Statistics
1, 5.2)
Question 15 of 15
This quiz: 15 point(s) possible
This question: 1 point(s) possible
A university conducted a survey of 395 undergraduate students regarding satisfaction with student government. Results of the survey are shown in the table by class rank. Complete parts (a) through (d) below. Click the icon to view the table.
(a) If a survey participant is selected at random, what is the probability that he or she is satisfied with student government?
satisfied
(Round to three decimal places as needed.)
(b) If a survey participant is selected at random, what is the probability that he or she is a junior?
P (junior)
(Round to three decimal places as needed.)
(c) If a survey participant is selected at random, what is the prob
satisfied and junior)
(Round to three decimal places as needed.)
(d) If a survey participant is selected at random, what is the prob
satisfied or junior
(Round to three decimal places as needed.)
Data table
\begin{tabular}{lccccc}
\hline & Freshman & Sophomore & Junior & Senior & Total \\
\hline Satisfied & 58 & 52 & 70 & 61 & 241 \\
\hline Neutral & 26 & 19 & 12 & 12 & 69 \\
\hline Not satisfied & 18 & 21 & 19 & 27 & 85 \\
\hline Total & 102 & 92 & 101 & 100 & 395 \\
\hline
\end{tabular}
Print
Done
Studdy Solution
STEP 1
1. The total number of survey participants is 395.
2. The table provides the number of students by class rank and satisfaction level.
3. Probabilities are calculated based on the total number of participants.
STEP 2
1. Calculate the probability of being satisfied.
2. Calculate the probability of being a junior.
3. Calculate the probability of being both satisfied and a junior.
4. Calculate the probability of being either satisfied or a junior.
STEP 3
Identify the total number of satisfied students from the table:
Calculate the probability of being satisfied:
Round to three decimal places:
STEP 4
Identify the total number of juniors from the table:
Calculate the probability of being a junior:
Round to three decimal places:
STEP 5
Identify the number of students who are both satisfied and juniors from the table:
Calculate the probability of being both satisfied and a junior:
Round to three decimal places:
STEP 6
Use the formula for the probability of either event occurring:
Substitute the calculated probabilities:
Calculate and round to three decimal places:
The probabilities are:
(a)
(b)
(c)
(d)
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