The binomial distribution is symmetrical when:
A)π = 1 and 1 - π = 0.
B)π = ¼ and 1 - π = ¾.
C)π = ½ and 1 - π = ½.
D)π = 0 and 1 - π = 1.

Question

Quizplus · Accepted Answer

The binomial distribution is symmetrical when π = ½ and 1 - π = ½. This means that the probability of success and the probability of failure are equal, resulting in a symmetric distribution. Choices A and D represent cases where one of the probabilities is 0 and the other is 1, leading to an extremely skewed distribution. Choice B represents a case where the probabilities are not equal, leading to an asymmetric distribution.

The Binomial Distribution Is Symmetrical When