Cooper Realty is a small real estate company located in Albany, New York, specializing primarily in residential listings. They recently became interested in determining the likelihood of one of their listings being sold within a certain number of days. An analysis of company sales of homes in previous years produced the following data. Days Listed Until Sold Under 30 31 - 90 Over 90 Total Initial Asking Price Under $150,000 60 30 20 110 $150,000 - $199,999 40 160 70 270 $200,000 - $250,000 30 280 90 400 Over $250,000 10 40 10 60 Total 140 510 190 840 a. If is defined as the event that a home is listed for more than days before being sold, estimate the probability of (to decimals). b. If is defined as the event that the initial asking price is under , estimate the probability of (to decimals). c. What is the probability of (to decimals)? d. Assuming that a contract was just signed to list a home with an initial asking price of less than , what is the probability that the home will take Cooper Realty more than days to sell (to decimals)? e. Are events and independent? No