One of the reasons that a correction for continuity adjustment is needed when approximating the binomial distribution with a normal distribution is because the normal distribution is used for a discrete random variable while the binomial distribution is used for a continuous random variable.

Question

Quizplus · Accepted Answer

The statement is incorrect. Both the normal distribution and the binomial distribution are used for discrete random variables. The reason for the continuity correction is related to the fact that the normal distribution is a continuous distribution, while the binomial distribution is a discrete distribution, and the approximation of a discrete distribution with a continuous distribution can lead to slight inaccuracies in the probabilities calculated.

One of the Reasons That a Correction for Continuity Adjustment