The manager of the local grocery store has determined that,on the 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 exactly 2 customers use the service desk?
A).0183
B).0733
C).1465
D).9084
E).7619

Question

Quizplus · Accepted Answer

The probability of exactly k events in a Poisson distribution is given by the formula P(X=k) = (λ^k * e^(-λ)) / k!, where λ is the average rate (4 in this case) and k is the number of events (2 in this case). Plugging in the values, P(X=2) = (4^2 * e^(-4)) / 2! = 0.1465.

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