3) Suppose the economy of the country Freedonia had 3 occupations: butcher, baker, and candlestick maker. Suppose that 40 percent of men were butchers, 40 percent of men were bakers and 20 of men were candlestick makers. Also, 10 percent of women were butchers, 70 percent of women were bakers and 20 percent were candlestick makers.

a) Calculate the Duncan Index of Dissimilarity for Freedonia.

b) Provide a shift in the gender occupational distribution that would make the Index equal to zero.