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In a binomial distribution the mean is 4 and the variance is 3. What is its mode?

1. 5
2. 4
3. 3
4. None of these

Correct answer: 4

Solution

From np = 4 and npq = 3 we get q = 3/4, p = 1/4, n = 16; the mode = floor((n+1)p) = floor(17/4) = 4.

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