Which of the following is equal to Cov (X+ Y, 2X +Y), where X and Y S ? are random variables on a sample space
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A: I solve this problem using r-software. And, R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4) cov(x,y)…
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- Suppose the random variable y is a function of several independent random variables, say x1,x2,...,xn. On first order approximation, which of the following is TRUE in general?Let X1, X2, X3 and X4 be exponential(1) random variables. Find the joint distribution of X1/(X1+X2+X3+X4) and (X1+X2)/(X1+X2+X3+X4) and (X1+X2+X3)/(X1+X2+X3+X4) using Jacobian method?Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. [a] How can we prove that 2X and 3Y are independent? Please show your proof.