MathProbabilityRandom variables and their properties

Variance of a random variable

Theory

Find the variance

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The probability density function f(x)f(x) of a continuous random variable XX is given below:

f(x)={12x0<x<20 otherwise f(x)= \begin{cases}\frac{1}{2} x & 0<x<2 \\ 0 & \text { otherwise }\end{cases}

Choose the correct variance.

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