CH28 - Expected Values of Continuous Random Variables

As the title suggests, this chapter is about the expected values of continuous random variables.

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Key Equations

For a single continuous RV

$$E(X)={\int }_0^{10}x\left(\frac{3}{1000}{x}^2\right)dx={\int }_0^{10}\frac{3}{1000}{x}^{3}dx={\frac{3}{1000}\left(\frac{x^4}{4}\right)|}_0^{10}$$

For two continuous RV's

$$\begin{array}{rl}& ={\int }_0^{+\infty }3x{e}^{-3x}dx\\ & =\end{array}$$