A Gallup poll conducted in 2012 asked people, Do you think the United States benefits from having

A Gallup poll conducted in 2012 asked people, €œDo you think the United States benefits from having a class of rich people?€ In response, 80% of Republicans, 59% of Independents, and 52% of Democrats said Yes. Assume that any-one who did not answer Yes answered No. Suppose the number of Republicans polled was 400, the number of Democrats was 500, and the number of Independents was 100.

a. Create a two-way table with counts (not percentages) that starts as shown here.

b. What is the probability that a person randomly selected is a Democrat given they said Yes?
c. What is the probability that a person randomly selected is a Republican given they said Yes.?
d. What is the probability that a person randomly selected said Yes given they are a Democrat?
e. What is the probability that a person randomly selected from the entire group is a Democrat AND said Yes?

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Republicans Independents Democrats Yes 320 No