Question

Question #802ca

Answer 1

See below.

Explanation:

`E(x) = \int_{-\infty}^\infty x f(x)dx` so

`E(ax+by+cz) = \int_{-\infty}^\infty (ax+by+cz) f(x)dx =`
`a \int_{-\infty}^\infty xf(x)dx+b \int_{-\infty}^\infty yf(x)dx+c \int_{-\infty}^\infty zf(x)dx =`
`aE(x)+bE(y)+cE(z)`