1. Pollsters interview 1000 people in a town and ask whether voters prefer candidate X or Y. They interview 500 young adults and 500 older adults. Among the young, 300 prefer X and 200 prefer Y. Among the old, X is preferred by 240 and Y is preferred by 260. The pollsters don't know the age distribution of the population. a. What is the true % of the town that prefers X if the young make up 60% of the population? b. What percentage young would the town have to be for the two candidates to equally preferred? 2. A person rolls one die. 2a. What is the probability that the die is 4 or it is odd? 2b. What is the probability that the die is 4, 5, or 6, or the die is odd? 3. Rain and wind occur with the following probabilities:

1. Pollsters interview 1000 people in a town and ask whether voters prefer candidate X or Y. They interview 500 young adults and 500 older adults. Among the young, 300 prefer X and 200 prefer Y. Among the old, X is preferred by 240 and Y is preferred by 260 . The pollsters don't know the age distribution of the population. a. What is the true % of the town that prefers X if the young make up 60% of the population? b. What percentage young would the town have to be for the two candidates to equally preferred? 2. A person rolls one die. 2a. What is the probability that the die is 4 or it is odd? 2b. What is the probability that the die is 4,5 , or 6 , or the die is odd? 3. Rain and wind occur with the following probabilities