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

Question

Quizplus · Accepted Answer

For a Poisson distribution, the mean is equal to $\lambda$, which is 3.2, and the standard deviation is the square root of $\lambda$, which is $\sqrt{3.2} \approx 1.79$.

The Number of Homeruns Hit During a Major League Baseball λ=3.2\lambda = 3.2λ=3.2

The Number of Homeruns Hit During a Major League Baseball $\lambda = 3.2$