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# 01_24 - STAT 400 Examples for Spring 2011 1 The probability...

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STAT 400 Examples for 01/24/2011 Spring 2011 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. a) What is the probability that a student selected at random does not own a bicycle? b) What is the probability that a student selected at random owns either a car or a bicycle, or both? c) What is the probability that a student selected at random has neither a car nor a bicycle? C C ' B B ' 2. During the first week of the semester, 80% of customers at a local convenience store bought either beer or potato chips (or both). 60% bought potato chips. 30% of the customers bought both beer and potato chips. What proportion of customer bought beer?

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3. Suppose P ( A ) = 0.22, P ( B ) = 0.25, P ( C ) = 0.28, P ( A B ) = 0.11, P ( A C ) = 0.05, P ( B C ) = 0.07, P ( A B C ) = 0.01. Find the following: a) P ( A B ) b) P ( A ' B ' ) c) P ( A B C ) d) P ( A ' B ' C ' ) e) P ( A ' B ' C ) f) P ( ( A ' B ' ) C ) g) P ( ( A B ) C ) h) P ( ( B C ' ) A ' )
The conditional

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01_24 - STAT 400 Examples for Spring 2011 1 The probability...

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