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Unformatted text preview: 1 EL6303 Fall &09: Homework Assignment List Assign # Chapter Problems Due at Class 1 2 1, 3, 4, 7, 8 2 2 2 11, 16, 17, 18, 19 3 3 2 12, 20, 23, 24, 25 4 4 3 1, 2, 3, 5, 6, 7, 9 5 5 4 4, 6, 7, 9, 10, 13, 14, 36 6 6 5 1, 2, 6, 7, 8, 11, 12, 24 7 7 5 10, 13, 14, 15, 17, 19, 21, 23 8 8 6 Problem Sheet (Attached) 10 6 1 (Apply results from Notes), 2 11 9 6 3, 4, 5, 6, 7, 18 12 10 6 10, 12, 36, 37, 58 13 5 28 13 5, 6, 7 Problem Sheet (Attached) 13 11 7 Problem Sheet (Attached) 14 1 EL6303 Fall &09: HOMEWORK ASSIGN. #8 Problem Sheet on Joint pdf&s 1) X and Y are continuous random variables with joint probability density f XY ( x;y ) = & cy 2 for & x & 2 and & y & 1 ; otherwise. ¡ (1) Determine: a) the value of the constant c ; b) P [ X + Y > 2] ; c) P [ Y < 1 2 ] ; d) P [ X & 1] ; e) P [ X = 3 Y ] . 2) X and Y are continuous random variables with joint probability density f XY ( x;y ) = & c ( x 2 + y ) for & y & 1 ¡ x 2 ; otherwise. ¡ (2) Determine: a) the value of the constant c ; b) P [0 & X & 1 2 ] ; c) P [ Y & X + 1] ; d) P [ Y = X 2 ] . 3) X and Y are continuous random variables such that ( X;Y ) must belong to the rectangle consisting of all points ( x;y ) for which & x & 3 and & y & 4 . Within this rectangle the joint distribution function is F XY ( x;y ) = 1 156 xy ( x 2 + y ) : (3) Determine: a) P [1 & X & 2 ; 1 & Y & 2] ; b) P [2 & X & 4 ; 2 & Y & 4] ; c)...
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This note was uploaded on 12/10/2009 for the course ECE el6303 taught by Professor Moon during the Spring '09 term at NYU Poly.
 Spring '09
 moon

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