Question: Let the probability set function of the random variable X be P X (D) = D f(x) dx, where f(x) = 2x/9, for x

Let the probability set function of the random variable X be P_X(D) = ∫_D f(x) dx, where f(x) = 2x/9, for x ∈ D = {x : 0 < x < 3}. Define the events D₁ = {x : 0 < x < 1} and D₂ = {x : 2 < x < 3}. Compute P_X(D₁), P_X(D₂), and P_X(D₁ ∪ D₂).

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