The variance of a binomial random variable with parameters n = 100 and p = 0.2 is:

Answer and explanation

Correct answer: B. 16

  1. Step 1: For a binomial distribution B(n, p), the variance formula is Var(X) = n p (1 - p).
  2. Step 2: Here n = 100, p = 0.2, and q = 1 - p = 0.8.
  3. Step 3: Var(X) = 100 0.2 0.8 = 20 * 0.8 = 16.

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