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

Step-by-step explanation:

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

The Poisson distribution function is given by :-

$\dfrac{e^{-\lambda}\lambda^x}{x!}$

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

$\dfrac{e^{-2}2^4}{4!}=0.09022352215\approx0.0902$

Hence, the required probability : 0.0902