7- Suppose X, Y and Z be random variables with j.p.m.f. f(x, y, z)= kxyz with x E {1,2}, y E (1.2.3), and z € {1,2}

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7- Suppose X, Y and Z be random variables with j.p.m. f.
f(x, y, z) = kxyz with x E {1,2}, y E {1, 2, 3), and z E {1,2}
(and f is zero elsewhere). Then F(X ≤ 2, Y ≤ 1,Z< 2) is
(a) 1/2
(b) 2/3
(c) 1/6
(d) 1/3
Transcribed Image Text:7- Suppose X, Y and Z be random variables with j.p.m. f. f(x, y, z) = kxyz with x E {1,2}, y E {1, 2, 3), and z E {1,2} (and f is zero elsewhere). Then F(X ≤ 2, Y ≤ 1,Z< 2) is (a) 1/2 (b) 2/3 (c) 1/6 (d) 1/3
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