Cars are arriving at a toll booth at a rate of four per minute. What is the probability that exactly eight cars will arrive in the next two minutes?
A)0.0349
B)0.1396
C)0.9666
D)0.0005

Question

Quizplus · Accepted Answer

The number of arrivals in a two-minute interval follows a Poisson distribution with mean = 2*4 = 8. Therefore, the probability of getting exactly 8 arrivals in the next two minutes is:
P(X=8) = (e^-8)*(8^8)/8! = 0.1396 (rounded to four decimal places) 
Therefore, the best choice is B.

Cars Are Arriving at a Toll Booth at a Rate