In November 2002, Janet Napolitano, a Democrat, was elected Governor of Arizona, defeating Republican Matt Salmon and Independent Richard Mahoney. This was a somewhat surprising outcome, since there are more registered Republicans than Democrats in the state. The table below presents the results of a sample of voters in the election. The number who voted for each of the candidates is presented in the rows, and the party affiliation of the voters is presented in the columns. Suppose that a voter is randomly chosen from these respondents. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation.
a)What is the probability that a randomly chosen voter voted for Napolitano?
b)What is the probability that a randomly chosen voter is a registered Democrat?
c)What is the probability that a randomly chosen voter cast a vote for Napolitano, given that the selected voter is a Democrat?
d)Commenting on this election. A local reporter said, "Napolitano won because she attracted a larger share of crossover voters." (A crossover voter is defined as one who votes differently than his or her party affiliation). What is the probability that a randomly chosen voter cast a vote for Napolitano, given that he or she is a crossover voter?

Question

In November 2002, Janet Napolitano, a Democrat, was elected Governor of Arizona, defeating Republican Matt Salmon and Independent Richard Mahoney. This was a somewhat surprising outcome, since there are more registered Republicans than Democrats in the state. The table below presents the results of a sample of voters in the election. The number who voted for each of the candidates is presented in the rows, and the party affiliation of the voters is presented in the columns. Suppose that a voter is randomly chosen from these respondents. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation.  ​
a)What is the probability that a randomly chosen voter voted for Napolitano?
b)What is the probability that a randomly chosen voter is a registered Democrat?
c)What is the probability that a randomly chosen voter cast a vote for Napolitano, given that the selected voter is a Democrat?
d)Commenting on this election. A local reporter said, "Napolitano won because she attracted a larger share of crossover voters." (A crossover voter is defined as one who votes differently than his or her party affiliation). What is the probability that a randomly chosen voter cast a vote for Napolitano, given that he or she is a crossover voter?

Quizplus · Accepted Answer

The Answer of In November 2002, Janet Napolitano, a Democrat, was elected Governor of Arizona, defeating Republican Matt Salmon and Independent Richard Mahoney. This was a somewhat surprising outcome, since there are more registered Republicans than Democrats in the state. The table below presents the results of a sample of voters in the election. The number who voted for each of the candidates is presented in the rows, and the party affiliation of the voters is presented in the columns. Suppose that a voter is randomly chosen from these respondents. Use the information in the table to answer the questions below. In showing your work, define and use appropriate notation.  ​
a)What is the probability that a randomly chosen voter voted for Napolitano?
b)What is the probability that a randomly chosen voter is a registered Democrat?
c)What is the probability that a randomly chosen voter cast a vote for Napolitano, given that the selected voter is a Democrat?
d)Commenting on this election. A local reporter said, "Napolitano won because she attracted a larger share of crossover voters." (A crossover voter is defined as one who votes differently than his or her party affiliation). What is the probability that a randomly chosen voter cast a vote for Napolitano, given that he or she is a crossover voter?

In November 2002, Janet Napolitano, a Democrat, Was Elected Governor