A Street Noodle Vendor in Singapore Can Service an Average

Multiple Choice

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 exactly 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