A life insurance company has determined that each week an average of 9 claims are filed in its Denver branch. What is the probability that exactly 5 claims will be filed during the next week?

6.07% probability that exactly 5 claims will be filed during the next week.

Step-by-step explanation:

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.

An average of 9 claims are filed in its Denver branch.

So

What is the probability that exactly 5 claims will be filed during the next week?

This is .

6.07% probability that exactly 5 claims will be filed during the next week.