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1) Determine whether the random variable is discrete or continuous. In each case

ID: 3431070 • Letter: 1

Question

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, ....

Explanation / Answer

(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