GATE ME 2021 Set 2 — Question 13
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Engineering Mathematics → Statistics & Distributions → Binomial Distribution
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Question
The mean and variance, respectively, of a binomial distribution for independent trials with the probability of success as , are
Correct answer
(D) np, np(1-p)
Solution
For a binomial distribution where is the number of trials and is the probability of success:
Matching with the options, (D) is correct.
1.The mean (expected value) is given by .
2.The variance is given by , where is the probability of failure.
Therefore, the variance is .Matching with the options, (D) is correct.
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