In a survey of 1000 eligible voters selected at random, it was found that 200 ha

Question

In a survey of 1000 eligible voters selected at random, it was found that 200 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 60% 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.) a) The voter had a college degree and voted in the last presidential election. (b) The voter did not have a college degree and did not vote in the last presidential election. (c) The voter voted in the last presidential election. (d) The voter did not vote in the last presidential election.

Explanation / Answer

Total eligible voters surveyed = 1000

200 had college degree , 800 dont have college degree

80% who had degree voted

200 * 80/100 = 160 voted who had degree , 40 of who had degree did not voted

60% of who did not had college degree voted

800 * 60/100 = 480 voted who did not had degree, 320 of who did not had degree did not voted

a)

probability of having college degree and voted = 160 / 1000 = 0.16

b)

probability of not having degreee and not voting = 320/100 = 0.32

c)

probablity of voter voted = 160 + 480 / 1000 = 0.64

d) probability of voter did not voted = 1 - probability of voter voted = 1 - 0.64 = 0.36

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