Presidents. Refer to Problem 12 .

a. Find the conditional distributions of party by birth region and the marginal distribution of party.

b. Does an association exist between the variables "birth region" and "party" for the U.S. presidents? Explain your answer.

c. What percentage of presidents are Republicans?

d. If no association existed between birth region and party, what percentage of presidents born in the South would be Republicans?

e. In reality, what percentage of presidents born in the South are Republicans?

a) Lower class limits: In the histogram the bars should be touches each other. A histogram's relative arrangement of the bars stretches horizontally from one class's lower limit to the next class's lower limit.

b) Lower cut points: In the histogram the bars should be touches each other. The relative positioning of the bars in a histogram is extends horizontally from the lower cut point of the class to the lower cut point of the next class.

c) Class mark: In the histogram the bars should be touches each other. I he relative positioning of the bars in a histogram is centered horizontally over the mark of the class.

c) Class mark: In the histogram the bars should be touches each other. The relative positioning of the bars in a histogram is centered horizontally over the mark of the class.