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

The restaurant wants to pool their clientele.

60 clients were randomly selected: 20 older 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

d). All of the above are true.

e). Only A and B are true.

1. Which is the probability that exactly 2 of the 20 older adults prefer organic? (Some answers can be rounded)

a). .105

b). 190

c). 7.12

d). .22

e). .05