11ConditionalRVAnalysis - Click to edit Master subtitle...

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Unformatted text preview: Click to edit Master subtitle style EE 3180 Probability and Conditional Distribution and Density Functions Jeffrey B. Burl EE 3180 Probability and 11 EE 3180 Probability and The Conditional Distribution Function n Conditional probability is defined: n Since the distribution function is a probability, a conditional distribution function can be define: EE 3180 Probability and 22 Pr( ) Pr( | ) , Pr( ) Pr( ) A B A B B B B = Pr( ) ( | ) Pr( | ) , Pr( ) Pr( ) x X x M F x M X x M M M B = = EE 3180 Probability and The Conditional Distribution Function, Continued n The conditional distribution function is a distribution function, i. e., has all the properties of a distribution function: EE 3180 Probability and 33 ( | ) 1 for x F x M x- < < ( | ) x F M- = ( | ) 1 x F M B = 2 1 2 1 ( | ) ( | ) if x x F x M F x M x x B EE 3180 Probability and Using the Conditional Distribution Function n...
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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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11ConditionalRVAnalysis - Click to edit Master subtitle...

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