Q.Suppose that x1,x2 and x3 are mutually independent and identically distributed with moment generating function given by M(t). Then the mgf of X1+X2-2X3 is given by {M(t)^2M(2t)} True or False

Q: The Cov(X) of a random vector X'=(X1,....Xn) is defined as E{(X-E(X))'(X-E(X)} True or False provide reason:

Q> Let X' = (X1,...Xn) be an n dimensional random vector whose covariance matrix exists. Let A be an m*n matrix of constants. Then Cov(AX) = ACov(X)A'. True or False

Q Consider three random X1, X2 and X3.Suppose that we have pairwise independent (i.e. X1 is independent of X2, X2 is independent of X3, and X1 is independent of X3) Then X1, X2 and X3. are mututally independent. True or False