The downtime per day for a computing facility has mean 4 hours and standard deviation 0.8 hour. a. What is the approximate probability that the total downtime for a period of 30 days is less than 115 hours? What assumptions did you make to obtain valid estimate for probability about the total downtime? b. Within what time limits the total downtime of computing facility for 30 days occurs with 95% chance? Give a logical justification for your response without using the normal distribution table.
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We are given the mean downtime per day ($\mu$) as 4 hours and the standard deviation ($\sigma$) as 0.8 hours. Show more…
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The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour. a. What is the approximate probability that the total downtime for a period of 30 days is less than 115 hours? What assumptions did you make to obtain valid estimate for probability about the total downtime? b. Within what time limits the total downtime of computing facility for 30 days occurs with 95% chance? Give a logical justification for your response without using the normal distribution table.
Lucas F.
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? i. 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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The downtime per day for a certain computing facility has averaged 4.0 hours and a standard deviation of 1.98 for the last year. Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours. Round-off your answers to 3 decimal places.
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