The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 8.9. Find the probability of observing exactly four accidents on this stretch of road next month.
A) 1.296886
B) 0.035656
C) 4.788184
D) 174.158539

Question

Quizplus · Accepted Answer

The probability of observing exactly k events in a Poisson distribution is given by the formula P(X=k) = (λ^k * e^(-λ)) / k!, where λ is the mean number of events. For k=4 and λ=8.9, this calculates to approximately 0.035656.

The Number of Traffic Accidents That Occur on a Particular