A restaurant gets an average of 5.3 complaints per day from its patrons. Use the Poisson distribution formula to find the probability that on a given day the restaurant will receive

Question: A restaurant gets an average of 5.3 complaints per day from its patrons. Use the Poisson distribution formula to find the probability that on a given day the restaurant will receive  exactly 4 complaints

Step-by-step explanation:

Given

-- average

Required

Determine the probability of receiving 4 complaints in a day

Since, it follows a poisson distribution, the probability is calculated as:

In this case:

So, we have:

Hence, the probability of exactly 4 complaints is 0.164125 .

-6 is the correct option from the above given options