A restaurant chain wants to create dishes that will attract new clientele. They are interested in adding some organic options to their menu. A survey revealed that 22% of people over 50 and 32% of people under 50 prefer organic foods. The restaurant wants to poll their clientele.

60 clients were randomly selected: 20 older adults and 40 younger adults.

Let X be the number of older adults (out of 20) who prefer organic.

Let Y be the number of younger adults (out of 40) who prefer organic.

Let Z be the total number in the sample who prefer organic (out of 60).

1) Which of the following is true about the random variables X, Y, and Z?
a. X is binomial with n = 20 and p = .22.
b. Y is binomial with n = 40 and p = .32.
c. Z is not binomial