5.39 Happiness in relationship Are people happy in their romantic relationships? The table shows results from the 2012 General Social Survey for adults classified by gender and happiness.

a. Estimate the probability that an adult is very happy in his or her romantic relationship.

b. Estimate the probability that an adult is very happy (i) given that he is male and (ii) given that she is female.

c. For these subjects, are the events being very happy and being a male independent? (Your answer will apply merely to this sample. Chapter 11 will show how to answer this for the population of all adults.)

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Level of Happiness Very Pretty Not Too Gender Happy Happy Happy Total Male 69 73 4 146 Female 78 80 13 171 Total 147 153 17 317