Recitation 7 (Intro Probability Two Way Tables) adj - STAT 1450 Recitation Activity 7 Probability(via Two-Way Tables Name Garrett Conrad TA James

Recitation 7 (Intro Probability Two Way Tables) adj - STAT...

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STAT 1450 Recitation Activity 7 Name: Garrett Conrad Probability (via Two-Way Tables) TA: James Willard Date: February 20, 2017 OBJECTIVES Students will establish a connection between two-way tables and probability rules. Students will compute “Or” and “And” questions. TWO-WAY TABLES & INTRODUCTORY PROBABILITY THEORY An Australian researcher conducted a study on a married couple’s risk of separation based upon whether the wife’s parents had been divorced. The results from the study are below. Couple’s Status Married (Co-habitating) Separated Totals Wife’s Parents Not Divorced 1092 72 1164 Divorced? Divorced 292 42 334 Totals 1384 114 1498 1.List the marginal distribution for Couple’s Status. 1384/1498 married 114/1498 separated 2. What percentage of wives have parents that are either Divorced or are (themselves) Separated ? 27.1% 3.What percentage of wives neither have Divorcedparents nor are (themselves) Separated? 72.9% 4.According to the table, which unique category also produces the same answer computed in 3? How does this compare with your answer from 2?
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Unformatted text preview: The % of wives with parents that are not divorced The above data set can be represented with probabilities. Couple’s Status Married (Co-habitating) Separated Totals Wife’s Parents Not Divorced .729 .048 _ .777 Divorced? Divorced .195 .028 _ .223 Totals _ .924 .076 1.00 5. Complete the table with the marginal probabilities. 6. List the 4 elements within the Sample Space (by pairing of Couple’s Status & Parental Divorce Status ). Married / Not divorced Separated / Not divorced Married / divorced Separated / divorced 7. According to the table, can a couple be both Married (Co-habitating) & Separated? No (events that cannot occur simultaneously are disjoint). Recitation Activity 7 p.1 8. Then use the above completed table to compute the percentage of wives that either have Divorced parents or are (themselves) Separated ? How does this compare with your answer from 2? .223 + .076 + .028 = .271 Recitation Activity 7 p.2...
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  • Spring '15
  • MichelleDuda
  • Statistics, Probability, Probability theory, Recitation Activity, James Willard, Couple’s Status

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