A help desk receives an average of four calls per hour on its toll-free number. For any given hour, find theprobability that it will receive exactly six calls. Use the Poisson distribution.
A) 0.1042
B) 0.0141
C) 725.7202
D) 0.0330

Question

Quizplus · Accepted Answer

The probability of receiving exactly six calls in an hour, given an average rate ($\lambda$) of 4 calls per hour, can be calculated using the Poisson distribution formula: $P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}$. Substituting $\lambda = 4$ and $k = 6$, we get $P(X=6) = \frac{4^6 e^{-4}}{6!}$, which calculates to approximately 0.1042.

A Help Desk Receives an Average of Four Calls Per