Question: The contingency table below categorizes sampled Blair County residents according to their job classification and their political affiliation. Republican Democrat Independent Row Totals Service 34
The contingency table below categorizes sampled Blair County residents according to their job classification and their political affiliation.
| Republican | Democrat | Independent | Row Totals |
| Service | 34 | 21 | 3 |
| Manufacturing | 22 | 19 | 5 |
| Office | 36 | 4 | 2 |
| Column Totals | 92 | 44 | 10 |
A person from Blair County is chosen at random.
a) Calculate the probability that the person is a Democrat and works in Manufacturing.
b) Calculate the probability that the person is Independent or works in an office.
c) Calculate the probability that the person is a Republican given that they work in Manufacturing.
d) Calculate the probability that the person works in Service, given that they are a Republican.
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