A binomial random variable X has parameters n = 100 trials and probability of success p = 0.20. What are the mean (mu) and standard deviation (sigma) of X?
Answer and explanation
Correct answer: B. mu = 20 and sigma = 4.0
For a binomial distribution: mean mu = n p = 100 0.20 = 20. Variance is sigma^2 = n p (1 - p) = 100 0.20 0.80 = 16. The standard deviation is sigma = sqrt(16) = 4.0.
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