Exhibit 5-15.A bank manager estimates that an average of two customers enter the tellers' queue every five minutes.Assume that the number of customers that enter the tellers' queue is Poisson-distributed. Refer to Exhibit 5-15.What is the probability that exactly three customers enter the queue in a randomly selected five-minute period?
A)0.0902
B)0.1804
C)0.2240
D)0.2707

Question

Quizplus · Accepted Answer

We can use the Poisson probability mass function to calculate this:
P(X=3) = (e^-2)*(2^3)/3! = 0.1804 (rounded to four decimal places)