7. Suppose that three random variables X₁, X2, and X3 have a mixed joint distribution with p.f./p.d.f.: 1+2+(1-1)³-12-1 ca and x2. x3 € (0, 1), otherwise. Determine (a) the value of the constant c; (b) the marginal joint p.f. of X2 and X3; and (c) the conditional p.d.f. of X₁ given X₂ = 1 and X3 = 1.

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