# The waiting time (in minutes) for customers at a drive-in-bank is an exponentially distributed

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Question:

The waiting time (in minutes) for customers at a drive-in-bank is an exponentially distributed random variable. The average(mean) time a customer waits is 4 minutes. What is the probability that a customer waits more than 5 minutes?

We are given that: the waiting time for customers at a drive-in-bank is an exponentially distributed with an average time a  customer waits is 4 minutes.

Thus mean = 4 minutes.

Thus parameter $\theta&space;=&space;\frac{1}{Mean}=\frac{1}{4}=0.25$.

We have to find the probability that a customer waits more than 5 minutes= ………..?