Verify the linearity of expectation: if X is a discrete random variable (with a finite range),...

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Verify the linearity of expectation: if X is a discrete random variable (with a finite range), and its expectation is defined as E[x] => + f(x) T where f is the probability mass function of X. prove that E = [X+Y]=E[X]+E[Y],andE[cX]=cE[X] for any real number c.

math Statistics-And-Probability

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solution given is discrete that random variable and defined E[a] = { xf (a) its expectation is جه Now E[x+y] = & & [+y). P(x= E [cx E C x P ( x = x) x { x P{ x= x - K с Е[х] proved. any query, please ask

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