Question: We would like to make a study of poverty between Americans and Canadians. The Au & Associates picked a total of 1,000 American and Canadians in a survey. Upon examination of the collected data, it is found that there are 643 Canadians and 357 Americans in the survey. And 403 of the Canadians are rich and 240 are poor. Of the Americans, 190 are rich and 167 are poor.

Now, find the following probabilities:
a. He is an American.
b. He is a rich American.
c. He is rich, given that he is an American.
d. He is an American, given that he is rich.
e. He is poor, given that he is an American.