2.1 Solve the below problem (show all calculations). Let Y, and Y, be random variables with joint density function 2, 0< y, < 1, 0 < y2 < 1, 0< y2+y1 <1 0, elsewhere. The marginal density function of f(y1) = 2(1– y,), 0

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A: given  f(y1,y2) = 6(y12 + y1 . y2/2) /7  ,   0&lt;y1&lt;1  ,0&lt;y2&lt;2

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