JEE Main 2022 Mathematics question

Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(X = 4), then the sum of the mean and the variance of X is:

Answer: (3)

Solution

, so q = 5p. With p + q = 1, p = 1/6 and q = 5/6.

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Question ID VK-034612