A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win food or cash prizes. According to the company, the probability of winning a prize (large or small) with any eligible purchase is 0.113.

Consider your next 33 purchases that produce a game piece. Calculate the following:

This is a binomial distribution. Round your answers to 4 decimal places.

a) What is the probability that you win 3 prizes?

b) What is the probability that you win more than 5 prizes?

c) What is the probability that you win between 2 and 5 (inclusive) prizes?

d) What is the probability that you win 3 prizes or fewer?