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 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 using the service desk can be calculated using the Poisson probability formula. With an average rate (λ) of 4 customers per half-hour, the probability of 0, 1, or 2 customers is calculated and summed: P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2). This results in approximately 0.2381.

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