12PairsofRVS - Click to edit Master subtitle style EE 3180...

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Unformatted text preview: Click to edit Master subtitle style EE 3180 Probability and Pairs of Random Variables Jeffrey B. Burl 11 EE 3180 Probability and Introduction n Many experiments give rise to 2 (or more) RVs. n Measure the number of wolves and the number of moose (or is it meese?) on Isle Royale. n Signal transmitted and signal received. n Signal strength and distance to a cell tower. n Others? n Like to find probabilities: 22 EE 3180 Probability and The Joint Probability Distribution Function n The joint probability distribution function is defined: n This function has the properties: 33 , ( , ) 1 for , X Y F x y x y-< < , , ( ,0) (0, ) X Y X Y F F-=-= , ( , ) 1 X Y F Y = , 2 2 , 1 2 2 1 2 1 ( , ) ( , ) if and X Y X Y F x y F x y x x y y Y , ( , ) Pr( , ) X Y F x y X x Y y = EE 3180 Probability and Computing Probability with the Joint Prob. Distribution Fun....
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This note was uploaded on 06/16/2010 for the course EE ee3180 taught by Professor Burl during the Spring '10 term at Michigan Technological University.

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12PairsofRVS - Click to edit Master subtitle style EE 3180...

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