The number of traffic accidents that occur on a particular stretch of road during a month follows a Poisson distribution with a mean of 7.4. Find the probability of observing exactly four accidents on
This stretch of road next month.
A)0.726530
B)21.769817
C)0.076372
D)2.288431

Question

Quizplus · Accepted Answer

The probability of observing exactly $k$ accidents when the events follow a Poisson distribution with mean $\lambda$ is given by $P(X=k) = \frac{e^{-\lambda} \lambda^k}{k!}$. For $\lambda = 7.4$ and $k = 4$, the calculation is $P(X=4) = \frac{e^{-7.4} * 7.4^4}{4!}$, which results in approximately 0.076372.

The Number of Traffic Accidents That Occur on a Particular