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A small real estate company recently became interested in determining the likelihood of one of their listings being sold within a certain number of days.

A small real estate company recently became interested in determining the likelihood of one of their listings being sold within a certain number of days. An analysisof company sales of 800 homes in previous years produced the following data. Use of Excel is optional.

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 A > B?

d. Are events A and B independent?

Days Listed Until Sold
Under 30 31-90 Over 90 Total
Initial Asking Price 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
Total 100 500 200 800

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