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

Question

asked Jan 6, 2020 202k views

1 Answer

Takeisha · Answer 1 · 2020-01-12T16:33:32+0000

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
and
$\lambda=2$ ) :-

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

Hence, the required probability : 0.0902