Refer to Table 12.11. Consider the variables "gender" and "college."

a. Group the bivariate data for these two variables into a contingency table.
b. Determine the conditional distribution of gender within each college and the marginal distribution of gender.
c. Determine the conditional distribution of college within each gender and the marginal distribution of college.
d. Does an association exist between the variables "gender" and "college" for this population? Explain your answer.

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Gender Clss College Gender Class College Soph BUS F Junior ENG Junior ENG M SophENG Senior BUS Junior BUS Junior ENG Junior LIB M Seor LIB M Soph ENG Junior ENG M SophENG F Soph BUS Junior BUS o ENG unior F Junior BUS M Soph BUS Junior BUS M Soph ENG M Junio ENG Junior ENG M Soph LIB Senior ENG F Senior BUS Juni