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A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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3.60 the joint probability density function of the random variables x y and z is

3.60 The joint probability density function of the ran-
dom variables X, Y, and Z is
4xyz?
, 0 < x, y < 1, 0 < z < 3,
f(x, y, z) =
0,
9
%3D
elsewhere.
Find
(a) the joint marginal density function of Y and Z;
(b) the marginal density of Y;
(c) P(; < X < , Y >, 1< Z < 2);
(d) P(0 < X < |Y = }, Z = 2).
1
4
Transcribed Image Text:3.60 The joint probability density function of the ran- dom variables X, Y, and Z is 4xyz? , 0 < x, y < 1, 0 < z < 3, f(x, y, z) = 0, 9 %3D elsewhere. Find (a) the joint marginal density function of Y and Z; (b) the marginal density of Y; (c) P(; < X < , Y >, 1< Z < 2); (d) P(0 < X < |Y = }, Z = 2). 1 4
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