Causes of the changing role of women in American society over the past several decades include new technologies that have reduced the amount of time required to complete routine household tasks, improved birth control, and changing political and social attitudes

There are frequently situations where you have information on the conditional distribution of Y given X, but are interested in the conditional distribution of X given Y

Recalling Pr(Y = y = x) = , derive a relationship between Pr(X = x = y) and Pr(Y = y = x). This is called Bayes' theorem. What will be an ideal response?

The slope of the budget line

a. is always -1 b. represents the opportunity cost of consuming one more unit of the good measured on the horizontal axis c. increases as more of one good is consumed d. decreases as more of one good is consumed e. is negative because of the law of demand