7.49 Let X1 and X2 have a joint distribution that is uniform over the region shaded in...

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7.49 Let X1 and X2 have a joint distribution that is uniform over the region shaded in the diagram below.

a Find the marginal density for X2.

b Find the marginal density for X1.

c Find P[(X1 X2) 0].

P(X2 … 0.5|X1 … 1.5)

P(X1 … 1.5, X2 … 0.5)

X1 = x1 X2 = x2

= e K 0 … x1 … 2,0 … x2 … 1; 2x2 … x1 0 elsewhere

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Probability And Statistics For Engineers

ISBN: 9781133006909

5th Edition

Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr

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