Customers make purchases at a convenience store, on average, every nine 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 ?? (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 seven-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 seven-minute break. Is he right in this belief?YesNoc.What is the probability that a customer will show up in less than seven minutes? (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.) Probability d.What is the probability that nobody shows up for over half an hour? (Round intermediate calculations to 4 decimal places and final answer to 4 decimal places.) Probability
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