7. A housing survey studied how City Sun homeowners get to work. Suppose that the survey consisted of a sample of 1,000
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7. A housing survey studied how City Sun homeowners get to work. Suppose that the survey consisted of a sample of 1,000
7. A housing survey studied how City Sun homeowners get to work. Suppose that the survey consisted of a sample of 1,000 homeowners and 1,000 renters. Drives to Work Yes No Homeowner 824 176 Renter 681 319 a) If a respondent is selected at random, what if the probability that he or she i. drives to work? (Answer: 0.7525) ii. drives to work and is a homeowner? (Answer: 0.412) iii. does not drive to work or is a renter? (Answer: 0.588) b) Given that the respondent drives to work, what then is the probability that he or she is a homeowner? (Answer: 0.5475) c) Given that the respondent drives to work, what then is the probability that he or she is a renter? (Answer: 0.4525) d) Are the two events, driving to work and being a homeowner, independent?
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