Solution Found!
Suppose that X1, X2, . . . , Xn and Y1, Y2, . . . , Yn are
Chapter 7, Problem 58E(choose chapter or problem)
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour.
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?
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?
Questions & Answers
QUESTION:
The downtime per day for a computing facility has mean 4 hours and standard deviation .8 hour.
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?
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?
ANSWER:
Step 1 of 3
Given Information:
The mean for downtime per day is 4 hours
The standard deviation for downtime per day is 0.8 hours