At the Fidelity Credit Union, a mean of 3.5 customers arrive hourly at the drive-through window. What is the probability that, in any hour, more than 5 customers will arrive? Round your answer to four decimal places.

0.1423 = 14.23% probability that, in any hour, more than 5 customers will arrive.

Step-by-step explanation:

We have the mean, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

In which

x is the number of sucesses

e = 2.71828 is the Euler number

is the mean in the given interval.

A mean of 3.5 customers arrive hourly at the drive-through window.

This means that

What is the probability that, in any hour, more than 5 customers will arrive?

This is:

In which

Then

Finally

0.1423 = 14.23% probability that, in any hour, more than 5 customers will arrive.

the answer is ! ?