It has been reported that women end up unhappier than men later in life, even though they start out happier (Yahoo News, August 1, 2008). Early in life, women are more likely to fulfill their family life and financial aspirations, leading to greater overall happiness. However, men report a higher satisfaction with their financial situation and family life, and are thus happier than women in later life. Suppose the results of the survey of 300 men and 300 women are presented in the following table.

a. What is the probability that a randomly selected woman is satisfied with her financial and family life?

b. What is the probability that a randomly selected man is satisfied with his financial and family life?

c. For women, are the events “Yes” and “20 to 35” independent? Explain using probabilities.

d. For men, are the events “Yes” and “20 to 35” independent? Explain using probabilities.

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Age Response by Women 20 to 35 35 to 50 over 50 Yes No 73 36 54 32 67 38 Response by Men Yes No 20 to 35 58 92 Age 35 to 50 34 46 Over 50 38 32