A county office gets an average of 10 calls in a 2 hour time period. What is the probability that the county office will get more than 0 calls in a 15 minute period? Round your answer to three decimal places.

0.713 = 71.3% probability that the county office will get more than 0 calls in a 15 minute period.

Step-by-step explanation:

We have the mean during a time-period, 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 county office gets an average of 10 calls in a 2 hour time period.

10 calls each 120 minutes, which means that the mean for n minutes is:

15 minute period:

This means that

What is the probability that the county office will get more than 0 calls in a 15 minute period?

This is:

In which

So

0.713 = 71.3% probability that the county office will get more than 0 calls in a 15 minute period.

c. 16 units

step-by-step explanation:

mark brainliest and have a great day!

answer: sorry i can't you.

step-by-step explanation: