Marital status gender single married divorced 30 180

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Marital Status Gender Single Married Divorced Male 25 125 30 180 Female 50 50 20 120 75 175 50 300 5. Summarize the gender of the customers using a marginal distribution. Interpret the results. P(M) = 180 300 =.60 P(F) = 120 300 = .40 There are more male customers than female customers (60% male and 40% female) 1
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6. Summarize the marital status of the customers using a marginal distribution and interpret the results. P(Single) = 75 300 75/300=.25 P(Married) = 175 300 =.58 P(Divorced)= 50 300 =.17 The majority of customers, 58%, are married; 25% are single, and 17% are divorced. 7. Is marital status associated with gender? Explain using a conditional distribution. Yes, since P (married |male) = 0.694 P (married) = 0.583 Or P(married|female) = 50/120=.42 is not equal to P(married) = .583 Data was collected on whether or not a student smokes and whether one or the other or both of their parents smoked. The data is shown below. Neither parent smokes One parent smokes Both parents smoke Total Student doesn’t smoke 1168 1823 1380 4371 Student smokes 188 416 400 1004 Total 1356 2239 1780 5375 8. Summarize student smoking behavior using a distribution. P(Student smokes) = 1004 5375 = .187 P(Student doesn’t smoke) = 4371 5375 =.813 9. Summarize parent smoking behavior using a distribution. P(neither parent smokes) = 1356 5375 =.252 P(one parent smokes) = 2239 5375 =.417 P(both parents smoke)= 1780 5375 =.331 10. Look for an association between student and parent smoking behavior using a distribution.
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