Assume the average arrival rate at a service center is five customers per hour.Determine the probability of three customers arriving in any random hour.
A)4%
B)5%
C)10%
D)14%

Question

Quizplus · Accepted Answer

This is a Poisson distribution problem, where the average number of successes (arrivals) in a given time interval is 5. The probability of observing exactly k events (k=3) in a fixed interval is given by the formula P(k; λ) = (e^(-λ) * λ^k) / k!, where λ is the average rate (5 in this case). Plugging the values in, P(3; 5) = (e^(-5) * 5^3) / 3! ≈ 0.1404 or 14%.

Assume the Average Arrival Rate at a Service Center Is