Quiz2Bans - X | Y ( x | y ). f Y ( y ) = &-y dx...

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STAT 410 Fall 2008 Version B Name ANSWERS . Quiz 2 (10 points) Be sure to show all your work, your partial credit might depend on it. Put your final answers at the end of your work, and mark them clearly. If the answer is a function, its support must be included. No credit will be given without supporting work. 1. Consider two continuous random variables X and Y with joint probability density function f ( x , y ) = 6 x , 0 < y < 1 – x , 0 < x < 1. a) (4) Find f
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Unformatted text preview: X | Y ( x | y ). f Y ( y ) = &amp;-y dx x 1 6 = 3 ( 1 y ) 2 , 0 &lt; y &lt; 1. f X | Y ( x | y ) = ( ) 2 1 2 y x-, 0 &lt; x &lt; 1 y , 0 &lt; y &lt; 1. b) (3) Find = &gt; 4 1 Y 2 1 X P . f X | Y ( x | 4 1 ) = x 9 32 , 0 &lt; x &lt; 4 3 . = &gt; 4 1 Y 2 1 X P = &amp; 4 3 2 1 9 32 dx x = 9 4 1-= 9 5 . 1. (continued) c) (3) Find &amp; &amp; = 4 1 Y X E . f X | Y ( x | 4 1 ) = x 9 32 , 0 &lt; x &lt; 4 3 . &amp; &amp; = 4 1 Y X E = 4 3 9 32 dx x x = 64 27 27 32 = 2 1 = 0.50 ....
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Quiz2Bans - X | Y ( x | y ). f Y ( y ) = &amp;amp;amp;-y dx...

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