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 that more than 10 customers will arrive in 1 hour, when the mean arrival rate is 15 customers per hour, and interarrival times are exponentially distributed?
A)0.0486
B)0.1185
C)0.0699
D)0.9301
E)0.8815

Question

Quizplus · Accepted Answer

The probability that more than 10 customers will arrive in 1 hour with a mean of 15 is 1 minus the cumulative probability of 10 or fewer arrivals. Using the Poisson distribution, this is 1 - P(X ≤ 10) = 0.8815.

A Street Noodle Vendor in Singapore Can Service an Average