The variance of a binomial distribution for which n = 75 and = 0.20 is:
A)375.
B)75.
C)15.
D)12.

Name: The variance of a binomial distribution for which n = 75 and = 0.20 is: A)375. B)75. C)15. D)12.
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Question

The variance of a binomial distribution for which n = 75 and   = 0.20 is:
A)375.
B)75.
C)15.
D)12.

Quizplus · Accepted Answer

The variance of a binomial distribution is given by the formula Var(X) = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure (q = 1 - p). 
Substituting n = 75 and p = 0.20, we get q = 0.80. 
Therefore, Var(X) = npq = 75 * 0.20 * 0.80 = 12.

The Variance of a Binomial Distribution for Which N =