QuestionQuestion 9, 5.1.6
Part 1 of 6
HW Score: 50\%,
O
Points: 0 of 1
Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
a. The number of pigeons in a country
b. The hair color of adults in the United States
c. The time it takes for a light bulb to burn out
d. The number of statistics students now doing their homework
e. The square footage of a pool
f. The number of light bulbs that burn out in the next year in a room with 16 bulbs
a. Is the number of pigeons in a country a discrete random variable, continuous random variable, or not a random variable?
A. It is a discrete random variable.
B. It is a continuous random variable.
C. It is not a random variable.
Studdy Solution
STEP 1
1. A discrete random variable is one that takes on a countable number of distinct values.
2. A continuous random variable is one that can take on an infinite number of values within a given range.
3. A value that is not a random variable does not vary or is not quantifiable in a probabilistic manner.
STEP 2
1. Define the characteristics of a discrete random variable.
2. Define the characteristics of a continuous random variable.
3. Define the characteristics of a non-random variable.
4. Analyze the given value: the number of pigeons in a country.
STEP 3
A discrete random variable is characterized by countable outcomes. Examples include the number of students in a class or the number of cars in a parking lot.
STEP 4
A continuous random variable is characterized by outcomes that can take any value within a range. Examples include the height of students or the time it takes to run a race.
STEP 5
A non-random variable is a fixed value or a characteristic that does not vary in a probabilistic manner. Examples include the color of a specific car or the name of a city.
STEP 6
Analyze the given value: the number of pigeons in a country.
- The number of pigeons is countable.
- It can vary from one observation to another.
Therefore, it is a discrete random variable.
The answer is:
A. It is a discrete random variable.
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