In November 2002, Janet Napolitano, a Democrat, was elected Governor of Arizona,defeating Republican Matt Salmon and Independent Richard Mahoney. This was asomewhat surprising outcome, since there are more registered Republicans thanDemocrats in the state. The table below presents data from a survey of a sample ofvoters in the election. The candidate supported by the voter is represented by therows, and the party affiliation of the voter is represented by the columns. Supposethat one of these voters is selected at random. Use the information in the table toanswer the questions below.
a) What is the probability that the selected voter voted for Napolitano?
b) What is the probability that the selected voter is a registered Democrat?
c) What is the probability that the selected voter voted for Napolitano, given that theselected voter is a Democrat?
d) A local reporter, commenting on this election, said, "Napolitano won because sheattracted a larger share of crossover voters." (A crossover voter is one who votesdifferently than his or her registration category. For example, a Democrat partymember voting Republican, or an Independent voting for a Democrat candidatewould be crossover voters). What is the probability that the selected voter votedfor 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 asomewhat surprising outcome, since there are more registered Republicans thanDemocrats in the state. The table below presents data from a survey of a sample ofvoters in the election. The candidate supported by the voter is represented by therows, and the party affiliation of the voter is represented by the columns. Supposethat one of these voters is selected at random. Use the information in the table toanswer the questions below.  
a) What is the probability that the selected voter voted for Napolitano?
b) What is the probability that the selected voter is a registered Democrat?
c) What is the probability that the selected voter voted for Napolitano, given that theselected voter is a Democrat?
d) A local reporter, commenting on this election, said, "Napolitano won because sheattracted a larger share of crossover voters." (A crossover voter is one who votesdifferently than his or her registration category. For example, a Democrat partymember voting Republican, or an Independent voting for a Democrat candidatewould be crossover voters). What is the probability that the selected voter votedfor 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 asomewhat surprising outcome, since there are more registered Republicans thanDemocrats in the state. The table below presents data from a survey of a sample ofvoters in the election. The candidate supported by the voter is represented by therows, and the party affiliation of the voter is represented by the columns. Supposethat one of these voters is selected at random. Use the information in the table toanswer the questions below.  
a) What is the probability that the selected voter voted for Napolitano?
b) What is the probability that the selected voter is a registered Democrat?
c) What is the probability that the selected voter voted for Napolitano, given that theselected voter is a Democrat?
d) A local reporter, commenting on this election, said, "Napolitano won because sheattracted a larger share of crossover voters." (A crossover voter is one who votesdifferently than his or her registration category. For example, a Democrat partymember voting Republican, or an Independent voting for a Democrat candidatewould be crossover voters). What is the probability that the selected voter votedfor Napolitano, given that he or she is a crossover voter?

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