Suppose that three random variables X1, X2, and X3 have
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Suppose that three random variables X1, X2, and X3 have a continuous joint distribution with the following joint p.d.f.:
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Suppose that three random variables X1, X2, and X3 have a continuous joint distribution with the following joint p.d.f.: f (x1, x2, x3) = ce?(x1+2x2+3x3) for xi > 0 (i = 1, 2, 3), 0 otherwise. Determine (a)the value of the constant c;(b)the marginal joint p.d.f. ofX1 andX3; and (c)Pr(X1 < 1|X2 = 2, X3 = 1).
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