You are picking a bouquet of 20 flowers for your mother at random from a garden with 25 dahlias, 35 daisies, and 42 bachelor's buttons. Your mother likes daisies the best, and you want to end up with 15 of those in your bouquet.
a. What is a success here? What is a failure?
b. Explain in words what X is in terms of this story. What values can it take?
c. Why is this a Hypergeometric situation? What are the parameters?
d. What is the probability you pick exactly 15 daisies in your bouquet?
e. What is the probability that you end up with all daisies in your bouquet?
f. What is the expected number of daisies you will pick?