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According to exit polling from the 2016 democratic primary in a certain state, 4

ID: 2949252 • Letter: A

Question

According to exit polling from the 2016 democratic primary in a certain state, 48% of primary voters were men and 52% were women. Fifty-one percent of Democratic men voting in the primary supported Candidate A, while 70% of Democratic women supported Candidate A. If a Candidate A supporter from the primary exit poll in this certain state is chosen at random, what is the probability that they are male? Which of the following probabilities must be found in order to find the probability that a random Candidate A supporter from the exit poll is male? Select all that apply. A. Pr(Supporter of Candidate A | Democratic Man) ? B. Pr(Supporter of Candidate A | Democratic Woman) C. Pr(Not a supporter of Candidate A | Democratic Woman) D. Pr(Not a supporter of Candidate A l Democratic Man) E. Pr(Democratic Woman) F. Pr(Democratic Man) The probability that a supporter of Candidate A from the primary exit poll in this certain state is chosen at random, and that they are male is (Round to four decimal places as needed.)

Explanation / Answer

To calculate required probability we need option A and F

P(male primary voters)=0.48

out of that male democratic primary voters 51% are voting to candidate A

suppose there are 10000 people .

4800 are men and 5200 are women .

out of 4800 men 51% voted to candidate A=4800* 0.51=2448

P(a supporter of candidate A from the primary exit poll in this certain state is chosen at random and they are male)=2448/10000=0.2448 (ans)

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