The downtime per day for a computing facility has mean 4 hours and standard deviation .8

Chapter 7, Problem 7.55

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The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. a Suppose that we want to compute probabilities about the average daily downtime for a period of 30 days. i What assumptions must be true to use the result of Theorem 7.4 to obtain a valid approximation for probabilities about the average daily downtime? ii Under the assumptions described in part (i), what is the approximate probability that the average daily downtime for a period of 30 days is between 1 and 5 hours? b Under the assumptions described in part (a), what is the approximate probability that the total downtime for a period of 30 days is less than 115 hours?

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