EE351KHW_6Fall2007 - aX E + = + ] [ ] [ (c) ] [ ] [ 2 X V a...

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THE UNIVERSITY OF TEXAS AT AUSTIN Department of Electrical and Computer Engineering EE351K, Probability and Random Process, Fall 2007 Assignment No. 6; Due Tuesday, October 9, 2007 Note, this assignment is due Tuesday, Oct. 9th. 1. Starting with the fact that = x all X x p x X E ) ( ] [ = x all X x p X E x X V ) ( ]) [ ( ] [ 2 Show that (a) ] [ ] [ X aE aX E = (b) b X aE b
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Unformatted text preview: aX E + = + ] [ ] [ (c) ] [ ] [ 2 X V a aX V = (d) ] [ ] [ 2 X V a b aX V = + 2. Consider a r.v. X characterized by the following pmf 1 . ) 5 ( = X p 5 . ) 1 ( = X p 4 . ) 2 ( = X p Calculate : (a) ] [ X E (b) ] [ 2 X E (c) ] [ X V (d) ] 6 3 [ X E (e) ] 6 3 [ X V...
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