# 01_24ans - STAT 400 Examples for Spring 2011 1 The probability that a randomly selected student at Anytown College owns a bicycle is 0.55 the

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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. P( B ) = 0.55, P( C ) = 0.30, P( B C ) = 0.10. a) What is the probability that a student selected at random does not own a bicycle? P( B ' ) = 1 – P( B ) = 1 – 0.55 = 0.45 . C C ' B 0.10 0.45 0.55 B ' 0.20 0.25 0.45 0.30 0.70 1.00 b) What is the probability that a student selected at random owns either a car or a bicycle, or both? P( B C ) = P( B ) + P ( C ) – P( B C ) = 0.55 + 0.30 – 0.10 = 0.75 . OR P( B C ) = P( B C ) + P( B ' C ) + P( B C ' ) = 0.10 + 0.20 + 0.45 = 0.75 . OR P( B C ) = 1 – P( B ' C ' ) = 1 – 0.25 = 0.75 . c) What is the probability that a student selected at random has neither a car nor a bicycle? P( B ' C ' ) = 0.25 .

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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.
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## This note was uploaded on 02/24/2011 for the course STAT 400 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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01_24ans - STAT 400 Examples for Spring 2011 1 The probability that a randomly selected student at Anytown College owns a bicycle is 0.55 the

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