In a recent senatorial election, 56% of the voters in a certain district were registered as Democrats, 34% were registered as Republicans, and 10% were registered as Independents. The incumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 80% of the Democratic vote, 24% of the Republican vote, and 35% of the Independent vote. Assuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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In a recent senatorial election, 56% of the voters in a certain district were registered as Democrats, 34% were registered as Republicans, and 10% were registered as Independents. The incumbent Democratic senator was reelected over her Republican and Independent opponents. Exit polls indicated that she gained 80% of the Democratic vote, 24% of the Republican vote, and 35% of the Independent vote. Assuming that the exit poll is accurate, what is the probability that a vote for the incumbent was cast by a registered Republican?

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