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M119L11to12-page7

M119L11to12-page7 - selections are independent Since Bush...

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(Lesson 11: Multiplication Rule; 4-4) 4.20 Example 4 G.W. Bush won 47.8% of the popular vote in 2000. (Al Gore won 48.4%, and Ralph Nader won 2.7%.) Over 105 million voters in the U.S. voted for President in 2000. Of those, three are randomly selected without replacement. Find the probability that all three selected voters voted for Bush in 2000. Solution to Example 4 Observe that we are sampling no more than 5% of a huge population. By the aforementioned Sampling Rule, we may practically assume that the
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Unformatted text preview: selections are independent. Since Bush won 47.8% of the vote, the probability that a randomly selected voter voted for Bush is 47.8%, or 0.478. Warning: Avoid using percents when doing calculations. P all three selected voters voted for Bush ( ) = P 1st-Bush ( ) ⋅ P 2nd-Bush ( ) ⋅ P 3rd-Bush ( ) = 0.478 ( ) 0.478 ( ) 0.478 ( ) , or 0.478 ( ) 3 ≈ 0.109 or 10.9% ( )...
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