Skittles candies come in the colors red, orange, yellow, green, and purple. Green is your favorite color. Assume that the colors are evenly distributed in a bag of 45 candies. You will eat 10 candies, counting the number of green ones as you eat.
a. What is a success in this story? 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 eat more than 2 green candies?
e. Given that you eat more than 2 green candies, what is the probability you eat exactly 9 green candies?
f. What is the expected number of green Skittles you will get?