1 Determine whether the random variable is discrete or conti

1) Determine whether the random variable is discrete or continuous. In each case, state the possible values of the random varialbe.

a) Is the number of people in a restuarant that has a capacity of 300 discrete or continuous?

A) The random variable is continuous. The possilbe values are x=0,1,2,....,300

B) The random variable is continuous. The possible values are 0 less than or equal to x less than or equal to 300

C) The random variable is discrete. The possible values are 0 less than or equal to x less than or equal to 300.

D) The random variable is discrete. The possible values are x=0,1,2,...,300

b) Is the amount of snowfall discrete or continuous?

A) The random variable is discrete. The possible values are s greater than or equal to 0

B) The random variable is continuous. The possible values are s=1,2,3,....

C) The random variable is continuous. The possible values are s greater than or equal to 0

D) The random variable is discrete. The possible values are s=1,2,3, ....

Solution

(a)D) The random variable is discrete. The possible values are x=0,1,2,...,300

(b)C) The random variable is continuous. The possible values are s greater than or equal to 0