The variance for the binomial probability distribution is
A)var(x) = P(1 - P)
B)var(x) = nP
C)var(x) = n(1 - P)
D)var(x) = nP(1 - P)

Question

Quizplus · Accepted Answer

The formula for the variance of the binomial distribution is var(x) = np(1-p). This takes into account both the number of trials (n) and the probability of success (p), as well as the probability of failure (1-p). Option A is incomplete as it only considers the probability of success and not failure. Option B doesn't take into account the probability of failure. Option C only considers the probability of failure and not success. Therefore, D is the correct choice as it considers both success and failure probabilities.

The Variance for the Binomial Probability Distribution Is