Suppose that the number of calls coming per minute into an airline reservation center follows a Poisson distribution.Assume that the mean number of calls is 3 calls per minute.The probability that no calls are received in a given one-minute period is _______.
A)0.0498
B)0.0508
C)0.0528
D)0.0548
E)0.0558

Question

Quizplus · Accepted Answer

The probability of receiving no calls (k=0) in a Poisson distribution with a mean (λ) of 3 is calculated using the formula P(X=k) = (e^(-λ) * λ^k) / k!. Substituting the values, P(X=0) = (e^(-3) * 3^0) / 0! = e^(-3) ≈ 0.0498.

Suppose That the Number of Calls Coming Per Minute into an Airline