Can a binomial distribution have a Mean of 3 and a Variance of 5?
Can a binomial distribution have a Mean of 3 and a Variance of 5?
- A. Yes, if n is large
- B. Yes, if p is small
- C. No, because Variance must be less than Mean
- D. No, because Mean must be an integer
Answer: C) No, because Variance must be less than Mean
Explanation: For a binomial distribution, Variance = npq and Mean = np. Since q < 1, npq < np. So Variance must always be strictly less than the Mean.
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