If  remains constant in a binomial distribution, an increase in n will increase the variance.

Question

Quizplus · Accepted Answer

The formula for the variance of a binomial distribution is Var(X) = np(1-p). Since p is held constant, an increase in n will directly increase the variance as a function of n. The variance of a binomial distribution is equal to np(1-p). As n increases while p remains constant, the product np increases, which increases the variance.

If  Remains Constant in a Binomial Distribution, an Increase