3.60 The joint probability density function of the ran- dom variables X, Y, and Z is ry:", 0 }, 2 < Z < 3);: (d) P(0 < Z < 2 | X = }, Y = }).

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endent.
3.60 The joint probability density function of the ran-
dom variables X, Y, and Z is
ry=", 0<,y< 1, 0 < z<3,
1o.
elsewhere.
Find
(a) the joint marginal density function of X and Y:
(b) the marginal density of Z:
(c) P(† < X < , Y > }, 2 < Z < 3);
(d) P(0 < Z < 2 | X = , Y = }).
75°F Mostly cloudy
Transcribed Image Text:endent. 3.60 The joint probability density function of the ran- dom variables X, Y, and Z is ry=", 0<,y< 1, 0 < z<3, 1o. elsewhere. Find (a) the joint marginal density function of X and Y: (b) the marginal density of Z: (c) P(† < X < , Y > }, 2 < Z < 3); (d) P(0 < Z < 2 | X = , Y = }). 75°F Mostly cloudy
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