9. The chart below summarizes home prices in Durham and Cary. Assuming that home prices follow a bell-shaped distribution, in both locations, please answer the questions below. Durham Cary DURHAM 2 CARY Mean $275,000 $385,000 470,000 = 470,000 - 275,000 2.17 90,000 a. Mr. Zillow wants to buy a house in one of these two cities. He could not decide since both houses that he really liked in both Cary and Durham have the same price of $470,000. Which house do you think Mr. Zillow should choose? Explain your reasoning mathematically and statistically. (6 pts) Standard Deviation 335,000 = 1 $90,000 $85,000 Z CARY