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 no customer will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?
A)0.1680
B)0.2240
C)0.1494
D)0.9502
E)0.0498

Question

Quizplus · Accepted Answer

The probability that no customer will arrive in 1 hour with a mean arrival rate of 3 customers per hour is given by the Poisson probability formula: P(X=0) = (e^(-λ) * λ^x) / x!, where λ = 3 and x = 0. This results in P(X=0) = e^(-3) ≈ 0.0498.

A Street Noodle Vendor in Singapore Can Service an Average