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Unformatted text preview: drawn by ﬁrst choosing its distance D from the center uniformly from the interval [0 ,r ] , and then choosing any chord at that distance from the center. Find the PDF of L , the length of the chord. Draw a ﬁgure to illustrate. Problem 5 Let the random variables X and Y be jointly uniformly distributed over the region shown. (a) Determine the value of f X,Y on the region shown. (b) Find f X , the mean and variance of X . (c) Find and sketch E [ Y | X = x ] as a function of x . Be sure to specify which range of x this conditional expectation is well deﬁned for....
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This note was uploaded on 02/20/2012 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas.
- Spring '07