# 08_25ans - STAT 400 Fall 2011 Examples for 08/25/2011 The...

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Examples for 08/25/2011 Fall 2011 The conditional probability of A, given B (the probability of event A, computed on the assumption that event B has happened) is P ( A B ) P ( A B ) =         ( assuming P ( B ) 0 ) . P ( B ) Similarly, the conditional probability of B, given A is P ( A B ) P ( B A ) =       ( assuming P ( A ) 0 ) . P ( A ) 1. (continued) The probability that a randomly selected student at Anytown College owns a bicycle is 0.55, the probability that a student owns a car is 0.30, and the probability that a student owns both is 0.10. C C ' B 0.10 0.45 0.55 B ' 0.20 0.25 0.45 0.30 0.70 1.00 P(B) = 0.55, P(C) = 0.30, P(B C) = 0.10. a) What is the probability that a student owns a bicycle, given that he/she owns a car? P( B | C ) = 0.10 / 0.30 = 1 4 / 9 .

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## This note was uploaded on 11/07/2011 for the course STAT 400 taught by Professor Kim during the Fall '08 term at University of Illinois, Urbana Champaign.

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08_25ans - STAT 400 Fall 2011 Examples for 08/25/2011 The...

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