During off hours,cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute.The arrivals are distributed according to a Poisson distribution.What is the probability that during the next five minutes,three cars will arrive?
A).2138
B).1804
C).0126
D).0613

Question

Quizplus · Accepted Answer

The probability of three cars arriving in five minutes is given by the Poisson distribution:P(X = 3) = (e^-λ * λ^x) / x!= (e^-0.5 * 0.5^3) / 3!= 0.2138

During Off Hours,cars Arrive at a Tollbooth on the East-West