If the average number of customers served per hour is two,then the probability that the service exceeds 45 minutes for any customer is ______.
A)22.3%
B)10.5%
C)36.8%
D)17.4%

Question

Quizplus · Accepted Answer

The service time follows an exponential distribution with a mean of 30 minutes (since 2 customers are served per hour). The probability that service time exceeds 45 minutes is calculated using the exponential distribution's survival function: P(T > 45) = exp(-45/30) = exp(-1.5) ≈ 0.223 or 22.3%.

If the Average Number of Customers Served Per Hour Is