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 .

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet