If a is a constant prove that
(i) var(a)=0
(ii) `var (aX)=a^(2)var(X)`

(iii)`Var(ax+b)=a^(2)var(X)`

If a and b are constants, then show that var (ax+b)=a^2 var (x) .

Prove that Var (a+bx)= b^(2) Var(x)

if a and b are any two constants, then prove that Var (aX+b)=a^2Var(X) .

If k is a constant, then Var(k) is equal to -

If x is a discrete random variable and 'a' is a constant show that (i) E(a)=a (ii) E(ax)=aE(x) (iii) E(x-barX)=0

If X and Y are two independent variables, then prove that var(aX+bY)=a^2var(X)+b^2var(Y) , where a and b are constants.

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

y = (ax + b) e^(-2x)

answer any one question : (ii) if X and Y are two independent variables , then rove that var(aX+bY ) =a^2 var (X) +b^2 var (Y) , where a and b are constants

If X is a random vairalbe, then for any constant a (neo) and b, var (ax+b) =