Let X and Y have the joint density function Kry 2<1<4 and 4< y56 fxy(x,y) = otherwise i. Find K so that the given function is a valid pdf. Find the marginal densities of X and Y. Are X and Y independent? Justify. ii. ii.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Problem 5
Let X and Y have the joint density function
JKry 2<1<4 and 4<y<6
fxy (x, y) =
otherwise
i.
Find K so that the given function is a valid pdf.
Find the marginal densities of X and Y.
Are X and Y independent? Justify.
ii.
iii.
Transcribed Image Text:Problem 5 Let X and Y have the joint density function JKry 2<1<4 and 4<y<6 fxy (x, y) = otherwise i. Find K so that the given function is a valid pdf. Find the marginal densities of X and Y. Are X and Y independent? Justify. ii. iii.
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