Example 3.1 (x1x2x3 Let X = (X₁, X2, X3) be a discrete type random vector with p.m.f. if (x₁, x2, x3) = {1, 2} × {1, 2} × {1,3} otherwise fx (x1, x2, x3): 72 (0, (i) Find the conditional p.m.f. of X₁ given that (X₂, X3) = (2,1); (ii) Find the conditional p.m.f. of (X₁, X3) given that X₂ = 3. "

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Example 3.1
(x1x2x3
Let X = (X₁, X₂, X3) be a discrete type random vector with p.m.f.
if (x₁, x2, x3) = {1, 2} × {1, 2} × {1,3}
otherwise
72
(0,
(i) Find the conditional p.m.f. of X₁ given that (X₂, X3) = (2,1);
(ii) Find the conditional p.m.f. of (X₁, X3) given that X₂ = 3.
fx (x1, x2, x3):
=
)
Transcribed Image Text:Example 3.1 (x1x2x3 Let X = (X₁, X₂, X3) be a discrete type random vector with p.m.f. if (x₁, x2, x3) = {1, 2} × {1, 2} × {1,3} otherwise 72 (0, (i) Find the conditional p.m.f. of X₁ given that (X₂, X3) = (2,1); (ii) Find the conditional p.m.f. of (X₁, X3) given that X₂ = 3. fx (x1, x2, x3): = )
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