In a survey of 1500 eligible voters selected at random, it was found that 150 had a college degree. Additionally, it was found that 90% of those who had a college degree voted in the last presidential election, whereas 45% 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.
A) 0.082
B) 0.09
C) 0.099
D) 0.06
E) 0.095

Question

In a survey of 1500 eligible voters selected at random, it was found that 150 had a college degree. Additionally, it was found that 90% of those who had a college degree voted in the last presidential election, whereas 45% 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. ​
A) 0.082
B) 0.09
C) 0.099
D) 0.06
E) 0.095

Quizplus · Accepted Answer

The probability that an eligible voter selected at random had a college degree and voted in the last presidential election is calculated as follows: Out of 1500 eligible voters, 150 had a college degree. 90% of these 150 college-educated voters voted in the last election, which is 0.9 * 150 = 135 voters. Therefore, the probability is 135 out of 1500, which simplifies to 0.09.

In a Survey of 1500 Eligible Voters Selected at Random