Which of the following is true with respect to the binomial distribution?
A) As the sample size increases, the expected value of the random variable decreases.
B) The binomial distribution becomes more skewed as the sample size is increased for a given probability of success.
C) The binomial distribution tends to be more symmetric as p approaches 0.5.
D) In order for the binomial distribution to be skewed, the sample size must be quite large.

Question

Quizplus · Accepted Answer

The binomial distribution becomes more symmetric as the probability of success (p) approaches 0.5, regardless of the sample size. This is because when p is close to 0.5, the chances of success and failure are almost equal, leading to a distribution that is more balanced around its mean.

Which of the Following Is True with Respect to the Binomial