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 less than 4 customers will arrive in 1 hour, when the mean arrival rate is 3 customers per hour, and interarrival times are exponentially distributed?
A)0.3528
B)0.1847
C)0.1680
D)0.8153
E)0.6472

Question

Quizplus · Accepted Answer

The probability that less than 4 customers will arrive in 1 hour with a mean arrival rate of 3 customers per hour is calculated using the Poisson distribution: P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). This results in a probability of approximately 0.6472.

A Street Noodle Vendor in Singapore Can Service an Average