If the average service rate is 15 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)zero
B)0.49
C)0.28
D)0.62

Question

If the average service rate is 15 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)​zero
B)​0.49
C)​0.28
D)​0.62

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:$$P(X \leq 10) = 1 - e^{-10/15} = 0.49$$

If the Average Service Rate Is 15 Minutes Per Customer,and