You are hungry and decide to go to patronize your office's vending machine. There are 6 bags of potato chips, 7 bags of pretzels, and 5 packs of chocolate chip cookies. Unfortunately there is something wrong with the buttons on the vending machine, and it will not let you type in your selection. However, it will drop 3 snacks out at random. You are hoping for 2 bags of cookies, and you don't care what the other snack will be.
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 get the 2 bags of cookies?
e. What is the probability that you get at most 1 bag of cookies?
f. What is the expected number of bags of cookies you will get?
g. What is the standard deviation in the number of bags of cookies you will get?
h. What is the expected number of bags of pretzels you will get?
i. What is the expected number of bags of potato chips you will get?