# Question: Refer to Problem 12 a Find the conditional distributions of birth

Refer to Problem 12.
a. Find the conditional distributions of birth region by party and the marginal distribution of birth region.
b. Find the conditional distributions of party by birth region and the marginal distribution of party.
c. Does an association exist between the variables "birth region" and "party" for the U.S. presidents? Explain your answer.
d. What percentage of presidents are Republicans?
e. If no association existed between birth region and party, what percentage of presidents born in the South would be Republicans?
f. In reality, what percentage of presidents born in the South are Republicans?
g. What percentage of presidents were born in the South?
h. If no association existed between birth region and party, what percentage of Republican presidents would have been born in the South?
i. In reality, what percentage of Republican presidents were born in the South?

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