b) Suppose that X₁ and X₂ have the joint probability density function defined as f(x₁, x₂) = {Wx1x2, 0≤ x₂ ≤ 1, 0 ≤ x₂ ≤ 1 elsewhere 0, Find: i) the value of w that makes f(x₁, x₂) a probability density function. ii) the joint cumulative distribution function for X₁ and X₂. iii) P (X₂ ≤ | X₂ ≤ ³).

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