A ited, Not Judged 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 820 homes in previous years produced the following data. Days Listed Until Sold Under 30 31 - 90 Over 90 Total Under $150,000 50 40 10 100 Initial Asking Price $150,000 - $199,999 $200,000 20 150 80 250 $250,000 20 290 100 410 Over $250,000 10 40 Total 100 520 10 200 60 820 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 (to 2 decimals). b. If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B (to 3 decimals). c. What is the probability of AnB (to 4 decimals)? 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 (to 2 decimals)? e. Are events A and B independent? Select your answer - Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3000. Assume that the standard deviation is $1200. a. What is the z-score for a backyard structure costing $2300 (to 2 decimals)? If your answer is negative, enter minus (-) sign. b. What is the z-score for a backyard structure costing $4900 (to 2 decimals)? c. Interpret the z-scores in parts (a) and (b). Comment on whether either should be considered an outlier. standard deviations - Select your answer - the mean. standard deviations Select your answer - the mean. $2300 is $4900 is - Select your answer - d. If the cost for a backyard shed-office combination built in Albany, California, is $13,000, should this structure be considered an outlier? Explain. $13,000 is (to 2 decimals) standard deviations - Select your answer - the mean. This cost Select your answer - an outlier. Consider the following frequency distribution. Answered Class Frequency 40 - 49 10 50-59 14 60-69 16 70-79 7 80-89 3 Construct a cumulative frequency distribution and a cumulative relative frequency distribution. Round your answers to two decimal places, if necessary. Class Cumulative Frequency Cumulative Relative Frequency Less than or equal to 49 Less than or equal to 59 10 0.20 23 0.46 Less than or equal to 69 39 0.78 Less than or equal to 79 46 0.92 Less than or equal to 89 50 1