Computer hot line receives, on average, 14 calls per hour asking for assistance. assume the variable follows a poisson distribution. what is the probability that the company will receive more than 20 calls per hour? round answer to 4 decimal places.

0.0479

Step-by-step explanation:

Given : Computer Help Hot Line receives, on average, 14 calls per hour asking for assistance.

Let x be number of variable that denotes the number of calls that follows a Poisson distribution.

Poisson distribution formula :

, where =Mean of the distribution.

Here ,

Then, the probability that the company will receive more than 20 calls per hour=

(From Cumulative Poisson distribution table the value of P(x ≤ 20) =0.9521 corresponding to   ).

Thus , the probability that the company will receive more than 20 calls per hour = 0.0479