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Random Variableshard
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A continuous random variable XXX has a probability density function f(x)=k(x2−x3)f(x) = k(x^2 - x^3)f(x)=k(x2−x3) for x∈[0,1]x \in [0, 1]x∈[0,1]. What is the variance Var(X)Var(X)Var(X)?