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Probability: Votes, the Bernoulli Process, and Volume Purchasers

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1. A May, 2004 news report indicated that George Bush 74% overall approval rating among Republicans. 26% of all others disapprove. Assume that 45 percent of registered voters are Republican. If you select a registered voter at random and the voter approves of the President's performance, what are the chances that the voter is a Republican?

2. A machine shop has six lathes and there is an 85 percent chance that a machine works on any given day. What are the chances of all six lathes working next Thursday? Assume a Bernoulli process.

3. A department store has classified its charge customers as either high or low volume purchasers. Thirty percent are high volume purchasers. If a sample of five people are randomly selected from the list of charge customers, what is the probability that none of them are high volume purchasers?

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Solution Summary

This solution provides a tutorial in calculating the voting patterns, finding the number of working machines using a Bernoulli process, and finding the probability of high volume purchasers in a sample size of five people.

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1. If I select a registered voter at random and the voter approves of the ...

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