The number of traffic accidents that occur on a particular stretch of road during a month follows a Poissondistribution with a mean of 7.2. Find the probability that less than three accidents will occur next month on thisstretch of road.
A) 0.025474
B) 0.071917
C) 0.974526
D) 0.928083

Question

Quizplus · Accepted Answer

The probability of less than three accidents occurring next month on this stretch of road is given by the Poisson distribution with a mean of 7.2:P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)= e^(-7.2) * 7.2^0 / 0! + e^(-7.2) * 7.2^1 / 1! + e^(-7.2) * 7.2^2 / 2!= 0.025474

The Number of Traffic Accidents That Occur on a Particular