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Unformatted text preview: EL630: Homework2 Solutions Problem 1 solution the table below lists all the outcomes and their probabilities. A 1 in a slot means that switch is closed and a 0 means that switch is open. outcome S1 S2 S3 S4 Probability 1 4 ) 1 ( p 2 1 3 ) 1 ( p p 3 1 3 ) 1 ( p p 4 1 1 2 2 ) 1 ( p p 5 1 3 ) 1 ( p p 6 1 1 2 2 ) 1 ( p p 7 1 1 2 2 ) 1 ( p p 8 1 1 1 ) 1 ( 3 p p 9 1 3 ) 1 ( p p 10 1 1 2 2 ) 1 ( p p 11 1 1 2 2 ) 1 ( p p 12 1 1 1 ) 1 ( 3 p p 3 1 1 2 2 ) 1 ( p p 4 1 1 1 ) 1 ( 3 p p 15 1 1 1 ) 1 ( 3 p p 16 1 1 1 1 4 p Let = A {Signal is received at output}, = i S {i th switch is closed}. a. We can see that { } 16 15 14 13 12 11 10 9 8 7 6 , , , , , , , , , , = A . To find ) ( A P we just add up the probabilities of the outcomes in A , to get 4 3 2 3 2 2 3 4 3 2 ) 1 ( ) 1 ( 5 ) 1 ( 4 ) ( p p p p p p p p p p p A P + + = + + + = ....
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This note was uploaded on 04/24/2011 for the course ECE 6303 taught by Professor Voltz during the Spring '11 term at NYU Poly.
 Spring '11
 voltz

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