Consider two variables Y₁, Y2 whose joint probability density func- tion is given by 30y192, if y₁-1 ≤ y2 ≤1-y2; 0 ≤ y ≤ 0; 0 ≤ y ≤ 1, 0 otherwise. (a) Find the marginal density of Y₁ (b) Find the marginal density of Y2 . (c) Find the conditional density of Y₂ given Y₁ = y₁. (d) Find P(Y2> 0|Y₁ = 3/4). f(y₁, y2) =

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