A naturalist leads whale watch trips every morning in March. The number of whales seen has a Poisson distribution with a mean of 4.3. Find the probability that on a randomly selected trip, the number of whales seen is 3.
A)0.1798
B)0.3057
C)0.3596
D)0.5394

Question

Quizplus · Accepted Answer

The probability of observing exactly $k$ events in a Poisson distribution is given by $P(X=k) = \frac{\lambda^k e^{-\lambda}}{k!}$, where $\lambda$ is the mean number of events. For $k=3$ and $\lambda=4.3$, $P(X=3) = \frac{4.3^3 e^{-4.3}}{3!} \approx 0.1798$.

A Naturalist Leads Whale Watch Trips Every Morning in March