Customers arrive according to a Poisson distribution. The average number of customer arrivals per hour is six. The probability that four customers will arrive in the next three hours is:
A) less than or equal to 0.01.
B) greater than 0.01 but less than or equal to 0.02.
C) greater than 0.02 but less than or equal to 0.03.
D) greater than 0.03.

Question

Quizplus · Accepted Answer

The probability of four customers arriving in the next three hours is given by the Poisson distribution with parameter $\lambda = 6 	imes 3 = 18$. The probability is $P(X = 4) = \frac{18^4 e^{-18}}{4!} \approx 0.014$.

Customers Arrive According to a Poisson Distribution