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    Lebesgue measure, defining random variables

    Suppose that (Ω, F, P) is Lebesgue measure on the interval [0, 1] Define random variables X(ω)=ω, Y(ω)=2ω+3 and Z(ω)=4ω+1 Compute P(X < b ∩ Y < c) and P(Z > a) as functions of a, b, c ∈ R
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