Let X be a random variable with the following probability density function f(x) = begincases 4x^2 e^-2x, & x 0 0, & otherwise endcases. If Y = ln X, then which of the following statements is correct?

Q17Section ST (Statistics (Q11–Q65))17 of 65

E(ln X) for a Gamma variable

Let $X$ be a random variable with the following probability density function $f(x) = \begin{cases} 4x^2 e^{-2x}, & x > 0 \ 0, & \text{otherwise} \end{cases}$ . If $Y = \ln X$ , then which of the following statements is correct?

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