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# Contingency Table Approach and Probability

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A laptop computer manufacturer sells a computer with a particular configuration. The manufacturer conducted a study on purchase intentions of consumers for this particular laptop with varying potential attributes. From the study it was found that 45% of consumers wanted a faster processor. 55% wanted a larger screen and 40% wanted a larger hard drive capacity. 15% were happy with the current configuration and wanted no further options. Further, 20% wanted a faster processor and larger screen, 30% wanted a faster processor and a larger hard drive, 20% wanted a larger screen and larger hard drive.

What % of customers wanted all three (faster processor, larger screen, larger hard drive)?
HINT: You may want to solve the problem using a contingency table approach or directly using the intersection/union formulas for probability. If you use a contingency table, the table would end up being a 3 dimensional table since there are three variables involved; it would look something like the following,
Larger Screen Faster Processor
YES NO
YES Larger HD YES
NO
NO Larger HD YES
NO