In the town of Colono, residents categorize their political affiliation as follows: 40% are Independents,...

 

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In the town of Colono, residents categorize their political affiliation as follows: • 40% are Independents, 30% are Democrat, and • 30% are Republican. In a recent mayoral election between incumbent Peanuts and the challenger Big Dog Lebowski, 32% of residents who were Independent voted, 65% of residents who were Democrat voted, and 60% percent residents who were Republican voted. Consider randomly selecting a resident. Define the events as follows. Let: • I= resident is an Independent • D= resident is a Democrat • R= resident is a Republican • V= resident voted 1. Construct a tree diagram, labelling events and the corresponding probabilities. Show all work for the following parts of the problem. a. Suppose the resident is a Democrat. What is the probability that they did not vote? b. What is the probability the resident did not vote and was an independent? c. What is the probability the resident voted? d. What's the probability that the resident who was an Independent given they voted? In the town of Colono, residents categorize their political affiliation as follows: • 40% are Independents, 30% are Democrat, and • 30% are Republican. In a recent mayoral election between incumbent Peanuts and the challenger Big Dog Lebowski, 32% of residents who were Independent voted, 65% of residents who were Democrat voted, and 60% percent residents who were Republican voted. Consider randomly selecting a resident. Define the events as follows. Let: • I= resident is an Independent • D= resident is a Democrat • R= resident is a Republican • V= resident voted 1. Construct a tree diagram, labelling events and the corresponding probabilities. Show all work for the following parts of the problem. a. Suppose the resident is a Democrat. What is the probability that they did not vote? b. What is the probability the resident did not vote and was an independent? c. What is the probability the resident voted? d. What's the probability that the resident who was an Independent given they voted?

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