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 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