In a situation where the distribution of service times is assumed exponential, suppose the probability that service time is under five minutes is 0.40.If a given customer has already had five minutes of service, the probability that he/she will have service totally completed in less than ten minutes, is:
A)0.40.
B)greater than 0.40.
C)less than 0.40.
D)indeterminate.

Question

Quizplus · Accepted Answer

The exponential distribution is memoryless, meaning the probability of an event occurring in the next interval is independent of how much time has already passed. Therefore, the probability remains 0.40.

In a Situation Where the Distribution of Service Times Is