Historical Data Shows That the Average Number of Patient Arrivals

Multiple Choice

Historical data shows that the average number of patient arrivals at the intensive care unit of General Hospital is 3 patients every 2 hours. Assume that the patient arrivals are distributed according to Poisson distribution.
-Determine the probability of at least 4 but no more than 8 patients arriving in a three-hour period.

A) 281
B) 708
C) 898
D) 617
E) 463