Question:

# A large fast-food restaurant is having a promotional game where game pieces can be found on various products. Customers can win

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 0.163. Consider your next 32 purchases that produce a game piece. Calculate the following: This is a binomial distribution. Round your answers to at least 4 decimal places. a) What is the probability that you win 6 prizes? b) What is the probability that you win more than 8 prizes? c) What is the probability that you win between 4 and 6 (inclusive) prizes? d) What is the probability that you win 3 prizes or fewer?