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Unformatted text preview: ENEE 324 ASSIGNMENT 16 Due Thu 11/05 Consider the curve in the ﬁrst quadrant of the (x, y ) plane deﬁned by y= 2 − x, 0 ≤ x ≤ 1; 1/x2 , x > 1. (i) (2 pts.) Sketch the region A in the ﬁrst quadrant bounded by the two positive axes (x and y ) and the curve deﬁned above. Let (X, Y ) be a pair of random variables whose joint pdf equals c over A, and 0 elsewhere. (ii) (3 pts.) What is the value of c? (iii) (3 pts.) Determine and sketch the pdf fX (x) of X . (iv) (3 pts.) Determine and sketch the pdf fY (y ) of Y . (v) (6 pts.) Sketch the following pdfs: fY
| X (y | X = 1/2) , fY | X (y | X = 2) , fX | Y (x | Y = 1/2) and fX | Y (x | Y = 3/2) (vi) (3 pts.) Evaluate E [Y 2 | X = 1/2]. ...
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This note was uploaded on 03/21/2010 for the course ENEE 324 taught by Professor Ephrimedes during the Fall '05 term at Maryland.
- Fall '05