Question

determine whether the following value is a continuous random variable, discrete random variable, or not a random variable.
a. the number of home runs in a baseball game
b. the usual mode of transportation of people in city a
c. the number of light bulbs that burn out in the next year in a room with 12 bulbs
d. the number of free - throw attempts before the first shot is missed
e. the number of runs scored during a baseball game
f. the number of people with blood type b in a random sample of 15 people
a. is the number of home runs in a baseball game 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.

Explanation:

A discrete random variable has a countable number of possible values. The number of home - runs in a baseball game can only take on non - negative integer values (0, 1, 2, etc.), so it is countable. A continuous random variable can take on any value in an interval. Since the number of home - runs is not in an interval but is countable, it is a discrete random variable.

Answer:

A. It is a discrete random variable.