(See Steps) Let X be continuous random variable having density function f(x)= Cx^2 0 Find: a) Constant C, b) Cumulative function F(x) c) Expectation E(X),
Question: Let X be continuous random variable having density function
\[f\left( x \right)=\left\{ \begin{aligned} & C{{x}^{2}}\,\,\,\,\,\,\,\,\,\,\,\,\,0Find: a) Constant C,
b) Cumulative function F(x)
c) Expectation E(X), standard deviation σ.
d) P(X < 1.5), P(X > 1), P(1 < X < 1.5)
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