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The manager of a computer help desk operation in Moncton has collected enough da

ID: 3359152 • Letter: T

Question

The manager of a computer help desk operation in Moncton has collected enough data to conclude that the time per call is normally distributed with a mean equal to 8.21 minutes and a standard deviation of 2.14 minutes. The manager wants to set the time limit at a level such that it will sound on only 8 percent of all calls. The time limit should be

answer: about 11.23 minutes

The manager of a computer help desk operation in Moncton has collected enough data to conclude that the time per call is normally distributed with a mean equal to 8.21 minutes and a standard deviation of 2.14 minutes. What is the probability that three randomly monitored calls will each be completed in 4 minutes or less?

Anaswer) about 0.00001

please tell me how to do these. more specific i appreciate!!!

Explanation / Answer

P(Z>z)=0.08

P(Z<z)=0.92

z=1.405 use NORMSINV(0.92) excel function

x-mean/standard deviation=1.405

x=11.216

probability that three randomly monitored calls will each be completed in 4 minutes or less=P(X<4)=P(Z<4-8.21/2.14)

=P(Z<-1.967)=0.02457 .....................Use excel function =NORMSDIST(-1.967)