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Unformatted text preview: X, Y ) can be described in polar coordinates in terms of random variables R 0 and [0 , 2 ], so that X = R cos , Y = R sin . Show that R and are independent (i.e. show f R, ( r, ) = f R ( r ) f ( )). (a) Find f R ( r ). (b) Find f ( ). (c) Find f R, ( r, ). 4. Problem 4.20, page 250 in text. Schwarz inequality . Show that for any random variables X and Y , we have ( E [ XY ]) 2 E [ X 2 ] E [ Y 2 ] . Page 1 of 1...
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This note was uploaded on 12/02/2011 for the course ENGINEERIN EE302 taught by Professor Proasin during the Spring '11 term at South Carolina.
 Spring '11
 Proasin
 Computer Science, Electrical Engineering

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