Customers arrive according to a Poisson distribution.The average number of customer arrivals per hour is three.The probability that four customers will arrive in the next two hours is:
A)less than or equal to 0.10.
B)greater than 0.10 but less than or equal to 0.12.
C)greater than 0.12 but less than or equal to 0.14.
D)greater than 0.14.

Question

Quizplus · Accepted Answer

The average rate of arrival is 3 customers per hour, so for two hours, the average is 6. Using the Poisson probability formula, the probability of exactly 4 arrivals in two hours is approximately 0.1338, which falls in the range greater than 0.12 but less than or equal to 0.14.

Customers Arrive According to a Poisson Distribution