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# 08_25 - STAT 400 Examples for Fall 2011 The conditional...

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Unformatted text preview: STAT 400 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?...
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08_25 - STAT 400 Examples for Fall 2011 The conditional...

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