If the average number of customers served per hour is five,then the probability that the service exceeds 27 minutes for any customer is ______.
A)74.1%
B)10.5%
C)36.8%
D)17.4%

Question

Quizplus · Accepted Answer

The average time per customer would be 60/5 = 12 minutes.
We can assume that the service time follows an exponential distribution with a mean of 12 minutes.
To find the probability that the service time exceeds 27 minutes, we can use the following formula:

P(X > 27) = e^(-27/12) = 0.105

Therefore, the probability that the service exceeds 27 minutes for any customer is 10.5% (option B).

If the Average Number of Customers Served Per Hour Is