A realtor sells houses in three different neighborhoods in the city—A, B and C. He sells only ranch style homes and two-story homes. Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales. Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C. Suppose we randomly select one of the homes he sold. (a) Draw a tree diagram to represent this chance process. Start by splitting up Cities A, B, C then split into Ranch and 2-Story. Make sure to put probabilities on the branches and find the probabilities at the ends. (b) What’s the probability that the home is a ranch? (c) If the home is a ranch, what’s the probability that it is in neighborhood C?