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 : [tex]P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}[/tex]
, where [tex]\lambda[/tex] =Mean of the distribution.
Here ,
Then, the probability that the company will receive more than 20 calls per hour= [tex]P(x>20)=1-P(x\leq20)[/tex]
[tex]=1-0.9521=0.0479 [/tex]
(From Cumulative Poisson distribution table the value of P(x ≤ 20) =0.9521 corresponding to [tex]\lambda=14[/tex] ).
Thus , the probability that the company will receive more than 20 calls per hour = 0.0479
