On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6 cars per fifteen-minute interval.Using the Poisson distribution, the probability that five cars will arrive during the next five-minute interval is _____________.
A)0.1008
B)0.0361
C)0.1339
D)0.1606
E)0.3610

Question

Quizplus · Accepted Answer

The average rate of arrival is 2 cars per five-minute interval (since 6 cars per fifteen minutes translates to 2 cars per five minutes). Using the Poisson distribution formula P(X=k) = (λ^k * e^(-λ)) / k!, where λ = 2 and k = 5, the probability is calculated as approximately 0.0361.

On Monday Mornings, Customers Arrive at the Coffee Shop Drive