Are people happy in their marriages? The table shows results from the 2008 General Social Survey for married adults classified by gender and level of happiness.

a. Estimate the probability that a married adult is very happy.
b. Estimate the probability that a married adult is very happy, (i) given that their gender is male and (ii) given that their gender 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.)

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Level of Happiness Very Pretty Not too Gender ay Happy Happy Total Male Female Total На 183 215 398 243 247 490 43 38 81 469 500 969