Of the registered voters in a certain town, 58% are Democrats, 51%favor a school
ID: 2937629 • Letter: O
Question
Of the registered voters in a certain town, 58% are Democrats, 51%favor a school loan, and 37% areDemocrats who favor a school loan. Suppose that a registered voteris selected at random from the town. (a) What is the probability that the person isnot a Democrat and opposes the school loan?* i did 1-.49=.51 but that is incorrect (a) What is the probability that the person isnot a Democrat and opposes the school loan?
Explanation / Answer
51% who favor a school loan = % of who favor a school loan aredemocrats + % of who favor a school loan are nondemocrats 51% = 37% + x => x = 14% Now, 42% who are non democrats = % of nondemocrats who favor a school loan + %of nondemocrats who do not favor a school loan 42% = 14% + y => y = 28% , so, the probability that the person is not aDemocrat and opposes the school loan is 0.28 .
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