Question #802ca

1 Answer

Nov 30, 2016

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)#

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Question #802ca

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