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Question 14 4 pts ) 1 0 Details 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. 185. Consider your next 30 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 between 4 and 7 (inclusive) prizes? c) Find the mean number of prizes you will win. d) Find the variance for this distribution. Showing work is REQUIRED. Add Work