The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 5. Calculate the probability of getting at least 4 calls between eight and nine in the morning.

0.735 = 73.5% probability of getting at least 4 calls between eight and nine in the morning.

Step-by-step explanation:

We have the mean during a time interval, 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.

The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean of 5.

This means that

Calculate the probability of getting at least 4 calls between eight and nine in the morning.

This is:

In which

So

Then

0.735 = 73.5% probability of getting at least 4 calls between eight and nine in the morning.