Question

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable. ​(a) The number of points scored during a basketball game. ​(b) The amount of rain in City Upper B during April.

Answer 1

a) Discrete, because the number of point scored during basket ball is countable.

For instance, the amount of point scored in a basketball could be 75, 103, 63 etc. The numbers are countable

b) Continuous, because the amounts of rainfall is a random variable that is uncountable.

For instance, the amount of rainfall in City Upper B during April could be 0.10 inches of rain per hour, 0.30 inches of rain per hour. This numbers are not countable, they are rather approximated or rounded off.

Explanation:

A random variable is considered discrete if its possible values are countable while a random variable is considered to be continuous if it's possible values are not countable.