If the average service rate is 12 minutes per customer, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution, then determine the probability that the service time will be less than or equal to 10 minutes.
A) 0.000
B) 0.565
C) 0.283
D) 0.624

Question

Quizplus · Accepted Answer

The probability that the service time will be less than or equal to 10 minutes is given by the cumulative distribution function of the negative exponential distribution:```P(X <= 10) = 1 - e^(-10/12) = 0.565```

If the Average Service Rate Is 12 Minutes Per Customer