Unformatted text preview: X , and E ( X ), the expected value of X . 2. Suppose that the random vector ( X,Y ) is jointly distributed with joint density function f X,Y ( x,y ) = ( 2 exy , if 0 &lt; x &lt; y &lt; , , otherwise . (a) Determine the marginal density functions f X ( x ) and f Y ( y ). (b) Based on your answer to (a) , are X and Y independent random variables? Justify your answer. (c) Use the result of (a) to calculate E ( X ) and E ( Y )....
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 Spring '08
 ISRAEL
 Math, Probability, Probability theory, probability density function, density function, marginal density function, joint density function

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