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A real estate company 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. Under $150,000 $150,000-$199,999 Initial Asking Price $200,000-$250,000 Over $250,000 Total (c) What is the probability of An B? Days Listed Until Sold Under 30 I 40 20 100 10 170 31-90 10 150 (e) Are events A and B independent? O No, because P(A | B) P(A). O Yes, because P(A n B) 0. O Yes, because P(A | B) < P(A). O No, because A and B aren't mutually exclusive. 20 10 190 Over 90 50 80 280 30 440 Total 100 250 400 (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. 50 (b) If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B. 800 (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 the company more than 90 days to sell?

A real estate company 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. Under $150,000 $150,000-$199,999 Initial Asking Price $200,000-$250,000 Over $250,000 Total (c) What is the probability of An B? Days Listed Until Sold Under 30 I 40 20 100 10 170 31-90 10 150 (e) Are events A and B independent? O No, because P(A | B) P(A). O Yes, because P(A n B) 0. O Yes, because P(A | B) < P(A). O No, because A and B aren't mutually exclusive. 20 10 190 Over 90 50 80 280 30 440 Total 100 250 400 (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. 50 (b) If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B. 800 (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 the company more than 90 days to sell?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A real estate company 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. Days Listed Until Sold Under 30 31-90 Over 90 Initial Asking Price Under $150,000 $150,000-$199,999 $200,000-$250,000 Over $250,000 Total (c) What is the probability of A n B? 40 20 I 100 10 170 10 150 20 (e) Are events A and B independent? O No, because P(A | B)*P(A). O Yes, because P(A n B) = 0. O Yes, because P(A | B) < P(A). O No, because A and B aren't mutually exclusive. 10 190 50 80 280 30 440 Total 100 250 400 (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. 50 (b) If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B. 800 (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 the company more than 90 days to sell?
Transcribed Image Text:A real estate company 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. Days Listed Until Sold Under 30 31-90 Over 90 Initial Asking Price Under $150,000 $150,000-$199,999 $200,000-$250,000 Over $250,000 Total (c) What is the probability of A n B? 40 20 I 100 10 170 10 150 20 (e) Are events A and B independent? O No, because P(A | B)*P(A). O Yes, because P(A n B) = 0. O Yes, because P(A | B) < P(A). O No, because A and B aren't mutually exclusive. 10 190 50 80 280 30 440 Total 100 250 400 (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. 50 (b) If B is defined as the event that the initial asking price is under $150,000, estimate the probability of B. 800 (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 the company more than 90 days to sell?
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