The local police department receives an average of two calls per hour. Use the Poisson distribution todetermine the probability that in a randomly selected hour the number of calls is five.
A) 0.0361
B) 0.0018
C) 0.0282
D) 0.0014

Question

Quizplus · Accepted Answer

The probability of getting exactly k events in a time period can be found using the Poisson distribution formula: P(k; λ) = (e^(-λ) * λ^k) / k!, where λ is the average number of events (2 calls per hour in this case) and k is the number of events of interest (5 calls). Plugging the values into the formula gives P(5; 2) = (e^(-2) * 2^5) / 5! = 0.0361.

The Local Police Department Receives an Average of Two Calls