In a survey of 1000 eligible voters selected at random, it was found that 2000 h

Question

In a survey of 1000 eligible voters selected at random, it was found that 2000 had a college degree Additionally, it was found that 80% of those who had a college degree voted In the last presidential election, whereas 56% of the people who did not have a college degree voted in the last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random will have the following characteristics. (Round your answers to three decimal places.) The voter had a college degree and voted in the last prevdentia1 election. ___________ The voter did not have a college degree and did not vote m the last presidential election. ___________ The voter voted in the last presidential election. __________ The voter did not vote in the last presidential election. _________

Explanation / Answer

a) no. of persons satisfying this condition = 200*0.8 = 160 probability = 160/1000 = 0.16

b) no. of persons satisfying this condition = 800*(1-0.56) = 352 = 352/1000 = 0.352

c) no. of persons satisfying this condition = 200*0.8 + 800*0.56 = 608 = 608/1000 = 0.608

d) no. of persons satisfying this condition = 1000-608 = 392 = 392/1000 = 0.392

d)

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