The manager of the local grocery store has determined that,on average,4 customers use the service desk every half-hour.Assume that the number of customers using the service desk has a Poisson distribution.What is the probability that during a randomly selected half-hour period,no more than 2 customers use the service desk?
A) .2381
B) .1465
C) .7619
D) .8535
E) .0916

Question

Quizplus · Accepted Answer

The probability of no more than 2 customers (0, 1, or 2) using the service desk can be calculated using the Poisson probability formula. The mean (λ) is 4. Calculate P(X=0), P(X=1), and P(X=2) and sum them: P(X≤2) = P(X=0) + P(X=1) + P(X=2) = e^(-4) * (4^0/0! + 4^1/1! + 4^2/2!) = 0.2381.

The Manager of the Local Grocery Store Has Determined That,on