8.25 The downtime per day for a certain computing facility has averaged 4.0 hours for the last...

Question:

8.25 The downtime per day for a certain computing facility has averaged 4.0 hours for the last year.

The standard deviation of downtimes of the last 20 failures is 0.8 hours.

a Find the probability that the average daily downtime for a period of 20 days is between 1 and 5 hours.

b Find the probability that the total downtime for the 30 days is less than 115 hours.

c What assumptions are necessary for the answers in parts

(a) and

(b) to be valid approximations?

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