Party Affiliation The following data represent political party by age from a random sample of registered Iowa Voters. (a) Are the events "Republican" and "30-44" independent? Justify your answer. (b) Are the events "Democrat" and "65+" independent? Justify your answer. (c) Are the events $^{*} 17-29 "$ and " $45-64 "$ mutually exclusive? Justify your answer. (d) Are the events "Republican" and "45-64" mutually exclusive? Justify your answer.
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If the probability of both events occurring is equal to the product of their individual probabilities, then the events are independent. Without these probabilities, we cannot determine if the events are independent. Show more…
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36. Party Affiliation The following data represent political party by age from a random sample of registered Iowa Voters: Age Group Republican Democrat Total 17–29 224 184 408 30–44 340 384 724 45–64 1075 773 1848 65+ 561 459 1020 Total 2200 1800 4000 (a) Are the events "Republican" and "30–44" independent? Justify your answer. (b) Are the events "Democrat" and "65+" independent? Justify your answer. (c) Are the events "17–29" and "45–64" mutually exclusive? Justify your answer. (d) Are the events "Republican" and "45–64" mutually exclusive? Justify your answer.
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In a group of 200 voters, there were 80 Republicans, 50 voters over the age of fifty-five, and 10 of the Republicans were over fifty-five. If a voter is chosen at random, find: (a) p(voter is Republican) (b) p(voter is over fifty-five) (c) p(voter is Republican OR over fifty-five) (d) Are these events ("voter is Republican" and "voter is over 55") independent? EXPLAIN!! (e) Are these events ("voter is Republican" and "voter is over 55") mutually exclusive? EXPLAIN!!
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