Which of the following statements is true with respect to a Poisson distribution?
A) The Poisson distribution is symmetrical when the mean is close to 5.
B) The Poisson distribution is more right-skewed for smaller values of the mean.
C) The variance of the Poisson distribution is equal to the square root of the expected value.
D) The Poisson distribution is an example of a continuous probability distribution.

Question

Quizplus · Accepted Answer

The Poisson distribution is indeed more right-skewed for smaller values of the mean, reflecting the fact that it models the probability of a given number of events happening in a fixed interval of time or space, with the events occurring with a known constant mean rate and independently of the time since the last event. As the mean increases, the distribution becomes more symmetric.

Which of the Following Statements Is True with Respect to a Poisson