Definitions of mean and variance of random variable


Suppose x is continuous random variable and c a constant. Verify following very significant identities using the definitions of mean and variance of random variable.

a. E(x+c) = E(x)+c

b. V(x) = E(x2) - E2(x)

c. V(c+x) = V(x)

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Basic Statistics: Definitions of mean and variance of random variable
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