You are picking a bouquet of 20 flowers for your mother at random from a garden with 25 coneflowers, 35 daisies and 42 lilies. Your mother likes daisies the best and you want to have 15 of those in your bouquet.
a) Define D in terms of the story. Name its distribution and parameters.
b) What is the probability that you pick exactly 15 daisies in your bouquet?
c) What is the probability that all of the flowers in your bouquet are daisies?
d) What is the expected value and variance of D?
e) What is the expected number of coneflowers in your bouquet?
f) What is the expected number of lilies in your bouquet?