Mathematics, 22.08.2020 22:01 trevonkincade9p5hlin
Let X and Y be independent standard normal random variables. Consider the transformation U = X + Y and V = X-Y.
a. Use the theory of distributions of functions of random variables (Jacobian) to find the joint pdf of U and V. Are U and V independent? Why? What is the distribution of U and the distribution of V?
b. Use moment generating functions to answer question (a).
Answers: 3
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