Suppose that we are to observe two independent random samples: Y1, Y2,..., Yn denoting a random sample from a normal distribution with mean 1 and variance 2 1 ; and X1, X2,..., Xm denoting a random sample from another normal distribution with mean 2 and variance 2 2 . An approximation for 1 2 is given by Y X, the difference between the sample means. Find E(Y X) and V(Y X).

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