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The probability density function of the random variable X is given by f(x) = {(16xe^-4x for x > 0), (0 for x ≤ 0). Find the mean and variance of X.

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The probability density function of the random variable X is given by f(x) = {(16xe-4x for x > 0), (0 for x ≤ 0). Find the mean and variance of X.

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Given p.d.f. is f(x) = {(16xe-4x for x > 0), (0 for x ≤ 0)

Mean E(X) 

Substituting in (1) 

[∵ Using E(X) integration]

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