Question

n a call center the number of received calls in a day can be modeledby a Poisson random variable. We know that, on average, 0.5% of days the callcenter received no calls at all. What is the average number of calls per day

Answer 1

Answer:Pois(ln(200))

Step-byy-step explanation:

Let N be the number of received calls in a day

That is

N∼Pois(λ).

0.5% = 0.5/100 = 1/200 of no calls

P(N=0)=e^−λ=1/200

-λ=e^(1/200)

λ=in(200)

Our number of calls in a day is distributed Pois(ln(200)).

Answer 2

Answer:

Number of calls in a day is distribution pois(ln(200)

Step-by-step explanation:

Let X be the number of received calls in a day, I.e X~poisX

P(X=0)=e~^=1/200 =^.our=in(200)