[Solved] Customers make purchases at a convenience store, on average, every twelve minutes

Customers make purchases at a convenience store, on average, every twelve minutes. It is fair to assume that the time between customer purchases is exponentially distributed. Jack operates the cash register at this store.

a-1. What is the rate parameter A? (Round your answer to 4 decimal places.) Rate parameter

a-2. What is the standard deviation of this distribution? (Round your answer to 1 decimal place.) Standard deviation

b. Jack wants to take a ten-minute break. He believes that if he goes right after he has serviced a customer, he will lower the probability of someone showing up during his ten-minute break. Is he right in this belief?

• Yes
• No

c. What is the probability that a customer will show up in less than ten minutes? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability

d. What is the probability that nobody shows up for over thirty-five minutes? (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) Probability

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