Question

Computer Help 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.

Answer 1

Answer: 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 : $P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

, where $\lambda$ =Mean of the distribution.

Here ,

Then, the probability that the company will receive more than 20 calls per hour= $P(x>20)=1-P(x\leq20)$

$=1-0.9521=0.0479$  

(From Cumulative Poisson distribution table the value of P(x ≤ 20) =0.9521 corresponding to  $\lambda=14$ ).

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