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Question

Statistics Question on Univariate Distributions

Let 𝑋 be a random variable having the probability density function
f(x)={x2if 0<x<2, 0,Otherwisef(x) =\begin{cases} \frac{x}{2} & \quad \text{if }0<x<2,\\\ 0, & \quad Otherwise \end{cases}
Then, 𝑉𝑎𝑟 (ln ( 2x\frac{2}{x} )) equals ________

Answer

The correct answer is: 0.25