Suppose that y = y1 y2 y3 N3(, ), where = 3 1 4 , = 6

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Suppose that y = y1 y2 y3 N3(, ), where = 3 1 4 , = 6 1 2 1 13 4 2 4 4 . (a). (10 pts) Find the distribution of z = 2y1 y2 + 3y3. (b). (10 pts) Find the joint distribution of y1 and y3. (c). (10 pts) Find the joint distribution y1, y3 and 0.5(y1 + y3)

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Suppose that y = y1 y2 y3 N3(, ), where = 3 1 4 , = 6

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