An Australian researcher conducted a study on a married coup

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.    

  
2. What percentage of wives have parents that are either divorced or are (themselves) Separated?


3. What percentage of wives neither have Divorced parents nor are (themselves) Separated?

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?

                   Couple’s Status
                            Married (Co-habitating)   Separated              Totals
Wife’s Parents    Not Divorced      .729                    .048          _____
Divorced?             Divorced       .195                       .028           ______
               Totals       _____               ______       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).


7. According to the table, can a couple be both Married (Co-habitating) & Separated? ____
(events that cannot occur simultaneously are disjoint).

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?  

Solution