A car towing service company averages two calls per hour. Use the Poisson distribution to determine the probability that in a randomly selected hour the number of calls is six.
A)0.0120
B)0.0002
C)0.0068
D)0.0001

Question

Quizplus · Accepted Answer

The Poisson distribution is given by:P(X = k) = (e^-λ * λ^k) / k!where:λ is the average number of calls per hourk is the number of calls in a randomly selected hourIn this case, λ = 2 and k = 6. So, the probability that in a randomly selected hour the number of calls is six is:P(X = 6) = (e^-2 * 2^6) / 6! = 0.0120

A Car Towing Service Company Averages Two Calls Per Hour