Question

Consider a binomial distribution with parameters n and p. The variance of this distribution is:

• A. np
• B. np²
• C. p(1 − p)
• D. np(1 − p)

Hint:

The variance of a binomial distribution depends on both the number of trials and the probability of success.

Answer 1

The Correct Option is D

For a binomial distribution with parameters n (number of trials) and p (probability of success), the variance is given by: \(Var(X)=np(1−p)\)

Thus, the correct answer is (d).