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6. Suppose X1 and X; are independent N (0, 0'2) random variables. (a) Find the distribution of Y1 and Y2, where X1 Y1=X12+X,andY2= JV 1

6. Suppose X1 and X; are independent N (0, 0'2) random variables. (a) Find the distribution of Y1 and Y2, where X1 Y1=X12+X,andY2= JV 1 struotor: Mike So (b) Show that Y1 and Y2 are independent, and interpret this result geometrically

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