In a survey of 2000 eligible voters selected at random, it was found that 250 had a college degree. Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 55% of the people who did not have a college degree voted in last presidential election. Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random had a college degree and voted in the last presidential elec

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a survey of 2000 eligible voters selected at random, it was found that 250 had a college degree.
Additionally, it was found that 80% of those who had a college degree voted in the last presidential election, whereas 55% of the people who did not have a college degree voted in last presidential election.
Assuming that the poll is representative of all eligible voters, find the probability that an eligible voter selected at random had a college degree and voted in the last presidential election.

Expert Solution
Step 1

From the given information, there are 2000 eligible voters selected at random, it was found that 250 had a college degree.

P(college degree)=250/2000=0.125

P(not having college degree=1-0.125=0.875

P(voted in last presidential election| college degree)=80%=0.80

P(voted in last presidential election| not have a college degree)=55%=0.55

 

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