The number of homeruns hit during a major league baseball game follows a Poisson distribution with a mean of 3.2. Find the probability that a randomly selected game would have exactly 5 homeruns hit.
A) 0.895
B) 0.105
C) 0.219
D) 0.114

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 average rate (mean) and k is the number of events. For this problem, λ = 3.2 and k = 5. Plugging these values into the formula gives the probability of exactly 5 homeruns.

The Number of Homeruns Hit During a Major League Baseball