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3. Le t X and Y be independent standard normal random variables. Define and 0.64 X2+0.36 Y 2-0.96X Y. Qi=0.36X2 +0.64y?+0.96XY Q2 (a) Show that Q, an O2 can be written in quadratic forms, namely Suppose A and A2 are symmetric, specify the matrices Aj and A2- (b) Find the distributions of Q, and Q2 (c) Show that Q1 and Q2 are independent.
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3. Le t X and Y be independent standard normal random variables. Define and 0.64 X2+0.36...
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