1. Table 6 gives the distribution of voter registration and voter turnouts for a certain city. A randomly chosen person is questioned at the polls. What is the probability that the person is an Independent?
Table 6

2. In a calculus course, the instructor gave an algebra exam on the first day of class to help students determine whether or not they had enrolled in the appropriate course. Eighty percent of the students in the class passed the exam. Forty percent of those who passed the exam on the first day of class earned an A in the course, whereas only twenty percent of those who failed the exam earned an A in the course. What is the probability that a student selected at random passed the exam on the first day of class, given that they earned an A in the course?
Use Bayes' theorem to calculate the probabilities.

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Proportion of Turnout Proportion Registered .50 .4 Democrat Republican .5 20 .7 Independent