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 30 calls arrive at a call center in an hour, when the mean arrival rate is 30 customer calls per hour, and interarrival times are exponentially distributed?

A) 0.0511
B) 0.0659
C) 0.0702
D) 0.0726
E) 0.0453