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Deloris Realty is a small real estate company located in Port of Spain, Trinidad, 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 800 homes in previous years produced the following data. The left hand columns shows listed asking prices. Days listed until sold Under 30 31- 90 Over 90 Total Under $150,000 50 40 10 100 $150,000-$199,999 20 150 80 250 $200,000 - $250,000 20 280 100 400 Over $250,000 10 30 10 50 100 500 200 800 a. If A is defined as the event that a home is listed for more than 90 days before being sold, estimate the probability of A? b. If B is defined as the event that the initial asking price is under $150,000 estimate the probability of B? c. What is the probability of AN B? d. Assuming that a contract was just signed to list a home with an initial asking price of less than $150,000, what is the probability that the home will take Cooper Realty more than 90 days to sell