4. Given a random sample, {(x1,y1),(x2,y2),,(xn,yn)}, from the bivariate Gaussian random variable (X,Y) with means X,Y, and variances X2,Y2, please answer the following questions. (a) What is the sampling distributions xnyn ? (b) What is the sampling distribution of txnyn?txnyn is defined as txnyn=sxnynxnyn, where sxnyn2=nsX2+nsY2 and sX2=n1i=12(xixn)2,sY2=n1i=12(yiyn)2. 4. Given a random sample, {(x1,y1),(x2,y2),,(xn,yn)}, from the bivariate Gaussian random variable (X,Y) with means X,Y, and variances X2,Y2, please answer the following questions. (a) What is the sampling distributions xnyn ? (b) What is the sampling distribution of txnyn?txnyn is defined as txnyn=sxnynxnyn, where sxnyn2=nsX2+nsY2 and sX2=n1i=12(xixn)2,sY2=n1i=12(yiyn)2