Question

determine whether the value is a discrete random variable, continuous random variable, or not a random variable.
a. the number of free - throw attempts before the first shot is made
b. the number of points scored during a basketball game
c. the response to the survey question \did you smoke in the last week?\
d. the time it takes for a light bulb to burn out
e. the height of a randomly selected giraffe
f. the number of people in a restaurant that has a capacity of 200
a. is the number of free - throw attempts before the first shot is made a discrete random variable, a 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
b. is the number of points scored during a basketball game a discrete random variable, a 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

Explanation:

• a. The number of free - throw attempts is a countable quantity, so it's a discrete random variable.
• b. The number of points scored in a basketball game is countable (0, 1, 2, etc.), thus a discrete random variable.
• c. The response to the survey question is a categorical variable ("yes" or "no"), not a random variable in the numerical sense.
• d. The time it takes for a light - bulb to burn out can take on any value within an interval, so it's a continuous random variable.
• e. The height of a randomly selected giraffe can take on any value within a range, making it a continuous random variable.
• f. The number of people in a restaurant is a countable value, so it's a discrete random variable.

Answer:

a. A. It is a discrete random variable
b. A. It is a discrete random variable
c. C. It is not a random variable
d. B. It is a continuous random variable
e. B. It is a continuous random variable
f. A. It is a discrete random variable