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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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