# 01_28_1ans - STAT 408 Examples for Spring 2009 The...

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STAT 408 Examples for 01/28/2009 Spring 2009 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 ) C C ' B 0.10 0.45 0.55 B ' 0.20 0.25 0.45 1. 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. P(B) = 0.55, P(C) = 0.30, P(B C) = 0.10. 0.30 0.70 1.00 a) What is the probability that a student owns a bicycle, given that he/she owns a car ? P( B

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## This note was uploaded on 04/27/2009 for the course STAT 420 taught by Professor Stepanov during the Spring '08 term at University of Illinois at Urbana–Champaign.

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01_28_1ans - STAT 408 Examples for Spring 2009 The...

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