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12PairsofRVS

# 12PairsofRVS - Pairs of Random Variables Jeffrey B Burl...

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Click to edit Master subtitle style  EE 3180 Probability and  Pairs of Random Variables Jeffrey B. Burl 11

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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 , 0 ( , ) 1 for , X Y F x y x y - < < , , ( ,0) (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 =

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EE 3180 Probability and  Computing Probability with the  Joint Prob. Distribution Fun. n Probabilities can be obtained from the joint  probability distribution function.
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• Spring '10
• Burl
• Probability distribution, Probability theory, probability density function, Cumulative distribution function, Isle Royale

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