The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.7. Find the probability that fewer than three accidents will occur next month on this stretch of road.
A) 0.017364
B) 0.051819
C) 0.982636
D) 0.948181

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 7.7:P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)= e^(-7.7) * 7.7^0 / 0! + e^(-7.7) * 7.7^1 / 1! + e^(-7.7) * 7.7^2 / 2!= 0.017364Therefore, the probability that fewer than three accidents will occur next month on this stretch of road is 0.017364.

The Number of Traffic Accidents That Occur on a Particular