Recitation 7 (Intro Probability Two Way Tables)-1.docx - STAT 1450 Recitation Activity 7 Probability(via Two-Way Tables Name Austin Gruber TA Eunseop

Recitation 7 (Intro Probability Two Way Tables)-1.docx -...

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STAT 1450 Recitation Activity 7 Name: Austin Gruber Probability (via Two-Way Tables) TA: Eunseop Kim Date: 10/03/19 OBJECTIVES Students will establish a connection between two-way tables and probability rules. Students will compute “Or” and “And” questions. Students will reflect on their exam performance. 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 . Married: 1384/1498 = 0.924 Seperated: 114/1498 = 0.076 2. What percentage of wives have parents that are either Divorced or are (themselves) Separated ? P(D or S)= P(D) + P(S) – P(D & S) = (334/1498) + (114/1498) – (42/1498) = 0.271 3. What percentage of wives neither have Divorced parents nor are (themselves) Separated ?
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