1. A realtor sells houses in three different neighborhoods in the city-Uptown, Midtown, and Downtown. In each of those neighborhoods, he sells ranch style homes and two-story homes. Last year, 40% of his sales were in Uptown, while Midtown made up 35%, and Downtown was 25% of the sales. Only 20% of the houses in Uptown were ranches, compared with 55% for Midtown and 35% for Downtown. Suppose we randomly select one of the homes he sold in one of these three neighborhoods (a) Draw a tree diagram to represent this chance process. (9 points) (b) What's the probability that the home is a two-story home? Show your work. (3 points) (c) Given that the home is a two-story, what's the probability that it is in Midtown? Show your work (4 points)