The cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes.What is the probability that the service time: Exceeds 3 minutes?
A).3012
B).6988
C).4346
D).5654
E).0821

Question

Quizplus · Accepted Answer

The probability that the service time exceeds 3 minutes is 1 - P(X < 3), where X is the service time. Since X has an exponential distribution with mean 2.5, we have P(X < 3) = 1 - e^(-3/2.5) = 0.6988. Therefore, the probability that the service time exceeds 3 minutes is 1 - 0.6988 = 0.3012.

The Cashier Service Time at the Local Branch of the Rivertown