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) 0.105
B) 0.114
C) 0.219
D) 0.895

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=5 and λ=3.2, the calculation gives approximately 0.114.

The Number of Homeruns Hit During a Major League Baseball