In a survey of 1500 selected at random across the United States, it was found th
ID: 3220791 • Letter: I
Question
In a survey of 1500 selected at random across the United States, it was found that 650 had a college degree. Additionally, it was found that 75% of those who had a college degree voted in the last president election, where 45% of the people who did not have college degree voted in the last presidential election, Assuming that the poll is representative of all eligible voters, do the following: A. Create a Venn diagram of this situation. Make sure that you define the necessary sets. Find the probability that a randomly selected eligible voter had a college degree and voted in the last presidential election. Your answer should be in the form of a sentence. C. Find the probability that a randomly selected eligible voter did not vote in the last presidential election. Show how you arrived at your answer. Use the proper mathematical notation. Your answer should be in the form of a sentence. D. Find the probability that a randomly selected eligible voter had voted in the last presidential election given that they did not have a college degree. Show how you arrived at your answer. Use the proper mathematical notation. Your answer should be in the form of a sentence.Explanation / Answer
Total eligibe voter = 1500
total with college degree = 650
voted and had college degree = 487.5 (75% of college degree voted)
without college degree = 850
voted and without college degree = 382.5 (45% of without degree voted)
Veinn diagram
b)probability of a random selected voter had a college degree and voted in the election
hence probabity = number of voter had a college degree and voted in the election / total eligible voters
= 487.5 / 1500 = 0.325
c) probability of a random selected voter did not voted in the elections =
total number of non voters / total eligible voter = 162.5 + 467.5 / 1500 = 0.42
d)probability of a random selected voter had voted and did not have a college degree.
= had a college degree and voted / total people voted
= 487.5 / 487.5 + 382.5 = 0.5603
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