Compute Probabilities of a Poisson Random Variable

Multiple Choice

Compute Probabilities of a Poisson Random Variable
-A history professor finds that when he schedules an office hour at the 10:30 a.m. time slot, an average of three students arrive. Use the Poisson distribution to find the probability that in a randomly selected office hour in the 10:30 a.m. time slot exactly five students will arrive.

A) 0.1008
B) 0.0137
C) 0.0519
D) 0.0070