The number of homeruns hit during a major league baseball game follows a Poisson distribution with λ = 3.2. Find the mean and standard deviation for this distribution.
A) mean = 3.2, standard Deviation = 3.2
B) mean = 3.2, standard Deviation = 10.24
C) mean = 3.2, standard Deviation = 1.79
D) mean = 1.79, standard Deviation = 3.2

Question

Quizplus · Accepted Answer

For a Poisson distribution, the mean is λ, and the standard deviation is the square root of λ. Thus, mean = 3.2 and standard deviation = √3.2 ≈ 1.79.

The Number of Homeruns Hit During a Major League Baseball