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In: Statistics and Probability

a gallup poll conducted in 2012 asked people do you think the united states benefit from...

a gallup poll conducted in 2012 asked people do you think the united states benefit from having a clwss of rivh people. in reponse 80^

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Expert Solution

Your Above mentioned Question is A little Incomplete ,

I have Written As Per Below.

A Gallup poll conducted in 2012 asked people, “Do 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.

We can make the following table.

Here Is Solution :-

Yes

No

Total

Republican

320

80

400

Independent

59

41

100

Democrats

260

240

500

Total

639

361

1000

  1. What is the probability that a person randomly selected is a Democrat given they said Yes?

P=260/639 =0.4069

  1. What is the probability that a person randomly selected is a Republican given they said Yes.?

P=320/639 =0.5008

  1. What is the probability that a person randomly selected said Yes given they are a Democrat?

P=260/500 =0.520

d. What is the probability that a person randomly selected from the entire group is a Democrat AND said Yes?

P=260/1000 =0.260


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