Random Variable

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An insurance company surveys its customers to determine the number of children under age 22 living in each household. Complete parts a and b below.

a. What is the random variable for this​ survey?
A. The number of children under age 22 living in each household
B. Whether or not a child is a customer
C. The number of children under age 22 who are customers
D. The age of the children living in each household

b. Is the random variable discrete or​ continuous?
A. The random variable is continuous because it can assume an uncountably infinite number of values.
B. The random variable is continuous because it can only assume a finite number of values or an infinite sequence of values such as​ 0, 1, 2....
C. The random variable is discrete because it can assume an uncountably infinite number of values.
D. The random variable is discrete because it can only assume a finite number of values or an infinite sequence of values such as​ 0, 1, 2....

ANSWER

a. A is the option the number of children uder 22 living in each household (looks clear from the question)
b. D the random variable is discrete because it can only assume a finite number or an infinite sequence of values such a s 0,1.2,..

we cant have 1.5 child or 2.75 child
it could only be 0 or 1 or 2 or 3 or...