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Math 246 Project 3 Sample KEY

# Math 246 Project 3 Sample KEY - 32 TOTAL 162 144 151 457 To...

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Math 246 Project 3 Sample KEY Use complete sentences when appropriate; u se complete mathematical sentences when appropriate. Failure to do so may result in a lower score. S how all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. If you present parallel solutions , I will grade the lesser of the two. The following data represent the medal tallies of the top eight countries at the 2004 Summer Olympics in Athens. Country Gold Silver Bronze TOTAL USA 35 39 29 103 China 32 17 14 63 Russia 27 27 38 92 Australia 17 16 16 49 Japan 16 9 12 37 Germany 14 16 18 48 France 11 9 13 33 Italy 10 11 11

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Unformatted text preview: 32 TOTAL 162 144 151 457 To solve this exercise it helps to first get the row totals and column totals. a. If a medal is randomly selected from the top eight countries, what is the probability that it is gold? P( Gold ) = (162/457) b. If a medal is randomly selected from the top eight countries, what is the probability that it was won by China? P( China) = (63/457) c. If a medal is randomly selected from the top eight countries, what is the probability that it is gold and was won by China? This probability is read off the table: P( Gold and China ) = (32/457) d. If a medal is randomly selected from the top eight countries, what is the probability that it is gold or was won by China? P(Gold OR China) = P(Gold) + P(China) – P(Gold AND China) = (162/457)+(63/457)-(32/457) There is another way to do this exercise and I will let you discover it on your own. e. If a bronze medal is randomly selected from the top eight countries, what is the probability that it was won by Japan? P( Japan GIVEN Bronze )= (12/151) We are only looking at the bronze metals which number 151 and now what proportion of the bronze was won by Japan, 12 is what proportion of 151?...
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Math 246 Project 3 Sample KEY - 32 TOTAL 162 144 151 457 To...

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