(3) Consider two variables Y₁, Y₂ whose joint probability density func- tion is given by 3y₁ if 0 ≤ y2 ≤ y ≤ 1, f(y₁, y2) = 0 otherwise. (a) Find the marginal density fı (y₁) of Y₁. (b) Compute the conditional probability P(Y₂ ≥ 1/2|Y₁ = 3/4). (c) Compute E(Y2), E(Y²) and E(Y₁Y₂). (d) Compute the covariance Cov(Y₁, Y₂).

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