Question

The average number of phone inquiries per day at the poison control center is 2. Find the probability that it will receive exactly 4 calls on a given day

Answer 1

Answer: 0.0902

Explanation:

Given : The average number of phone inquiries per day at the poison control center :
`\lambda=2`

The Poisson distribution function is given by :-

`(e^(-\lambda)\lambda^x)/(x!)`

Then , the probability that it will receive exactly 4 calls on a given day is given by (Put
`x=4` and
`\lambda=2`) :-

`(e^(-2)2^4)/(4!)=0.09022352215\approx0.0902`

Hence, the required probability : 0.0902