3) Suppose the economy of the country Gorgenheim had 3 occupations: butcher, baker, and candlestick maker. Suppose that

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3) Suppose the economy of the country
Gorgenheim 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 Gorgenheim.
b) Provide a shift in the gender occupational
distribution that would make the Index equal to zero.