Historical data show 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 a Poisson distribution. Determine the probability of at least 4 but no more than 8 patients arriving in a three-hour period.
A) .3813
B) .5711
C) .4276
D) .7861
E) .6174

Question

Quizplus · Accepted Answer

P(4 ≤ X ≤ 8) = P(X = 8) + P(X = 7) + P(X = 6) + P(X = 5) + P(X = 4)
= (.0463) + (.0824) + (.1281) + (.1708) + (.1898) = .6174

Historical Data Show That the Average Number of Patient Arrivals