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

Essay

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 data from a survey of a sample of
voters in the election. The candidate supported by the voter is represented by the
rows, and the party affiliation of the voter is represented by the columns. Suppose that one of these voters is selected at random. Use the information in the table to
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 the
selected voter is a Democrat?
d) A local reporter, commenting on this election, said, "Napolitano won because she
attracted a larger share of crossover voters." (A crossover voter is one who votes
differently than his or her registration category. For example, a Democrat party
member voting Republican, or an Independent voting for a Democrat candidate
would be crossover voters). What is the probability that the selected voter voted
for Napolitano, given that he or she is a crossover voter?