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Unformatted text preview: MIDDLE EAST TECHNICAL UNIVERSITY – NORTHERN CYPRUS CAMPUS BUS 152 STATISTICS FOR SOCIAL SCIENCES SPRING 2011 PROBLEM SET I: BASIC PROBABILITY Problem 1. Given the following contingency table: B B’ A 10 20 A’ 20 40 What is the probability of a. event A (P(A))? b. event A’ (P(A’))? c. event A and B (P(A and B))? d. event A or B (P(A or B))? Problem 2. Given the following contingency table: B B’ A 10 30 A’ 25 35 What is the probability of a. A | B ? b. A’ | B’ ? c. A | B’ ? d. Are events A and B statistically independent? Problem 3. A U.S. Census American Housing Survey studied how U.S. homeowners get to work. Suppose that the survey consisted of a random sample of 1,000 homeowners and 1,000 renters. Drivers to Work Homeowner Renter Total Yes 824 681 1,505 No 176 319 495 Total 1,000 1,000 2,000 What is the probability that he or she a. drives to work? b. drives to work and is a homeowner? c. drives to work or is a homeowner? d. Explain the difference in the results in (b) and (c). e. Given that the respondent drives to work, what then is the probability that he or she is a homeowner? f. Given that the respondent is a homeowner, what then is the probability that he or she drives to work? g. Explain the difference in the results (e) and (f). h. Are the two events, driving to work and whether the respondent is a homeowner or a renter, statistically independent? Problem 4. A box of nine golf gloves contains two left-handed gloves and seven right- handed gloves....
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