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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 with any eligible purchase is 0.105. 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 4 prizes ?
B) what is the probability that you win more than 5 prizes?
C) what is the probability that you win between 2 and 4 inclusive prizes?
D) what is the probability that you win 1 prizes or fewer?