A street noodle vendor in Singapore can service an average of 10 customers per hour. Given an average arrival rate of 8 customers per hour, use the Poisson distribution to calculate the probability that the vendor can handle the demand.
-What is the probability of having more than 12 customers arriving within 1 hour?
A)0.0481
B)0.9362
C)0.0638
D)0.8881
E)0.1119

Question

Quizplus · Accepted Answer

The average arrival rate is 8 customers per hour. Using the Poisson distribution, the probability of having more than 12 customers is 1 minus the cumulative probability of having 12 or fewer customers. This is calculated as 1 - P(X ≤ 12) for a Poisson distribution with λ = 8. The result is approximately 0.0638.

A Street Noodle Vendor in Singapore Can Service an Average