The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 6.1. Find the probability that fewer than three accidents will
Occur next month on this stretch of road.
A)0.857499
B)0.057653
C)0.142501
D)0.942347

Question

Quizplus · Accepted Answer

The probability of fewer than three accidents occurring next month on this stretch of road is given by the Poisson distribution with a mean of 6.1:P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)= e^(-6.1) * 6.1^0 / 0! + e^(-6.1) * 6.1^1 / 1! + e^(-6.1) * 6.1^2 / 2!= 0.057653

The Number of Traffic Accidents That Occur on a Particular