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 0.131.

Consider your next 31 purchases that produce a game piece. Calculate the following:

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

1- What is the probability that you win 4 prizes?-----------

2- What is the probability that you win more than 5 prizes?----------

3- What is the probability that you win between 3 and 5 (inclusive) prizes?--------

4- What is the probability that you win 2 prizes or fewer?-----------