Suppose two groups of 20 random orders are independently, Basic Statistics

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Suppose two groups of 20 random orders are independently

Business and Management

In the movie Lethal Weapon, the character played by Joe Pesci is concerned about drive-thru windows at fast-food restaurants. Suppose the probability that an order at a drive-thru window at a fast-food restaurant will be filled correctly is 0.75. Twenty orders are selected at random.

a. What is the probability that exactly 15 orders will be filled correctly?

b. What is the probability that at most 12 orders will be filled correctly?

c. What is the probability that between 10 and 14 (inclusive) orders will be filled correctly?

d. Suppose two groups of 20 random orders are independently selected. What is the probability that at least 16 orders will be filled correctly in both groups?

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