A popular coffee shop runs a contest where prize coupons are printed under the rims of its paper cups. Suppose 10% of the cups are printed with a winning coupon, and you purchase 15 cups of coffee during the promotion.
a) What type of distribution best represents this problem? Explain.
b) What is the probability that you will win at least 3 prizes?
c) What is the expected number of prizes you will win?