A poll is conducted which asks participants to state whether they eam more or less than $50,000, and whether or not they think the tax code is fair. Suppose that the contingency table shown to the right represents the specific breakdown of responses. Complete parts (a) through (d). Income Level Less than More than Tax Code $50,000 $50,000 Total 380 315 695 Fair 310 690 Unfair Total 175 485 490 1180 a. What is the probability that an individual respondent thinks the tax code is unfair? O (Round to three decimal places as needed.) b. What is the probability that an individual respondent thinks the tax code is unfair and makes less than $50,000? (Round to three decimal places as needed.) c. What is the probability that an individual respondent thinks the tax code is unfair or makes less than $50,000? (Round to three decimal places as needed.)

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A poll is conducted which asks participants to state whether they eam more or less than $50,000, and whether or not
they think the tax code is fair. Suppose that the contingency table shown to the right represents the specific breakdown of
responses. Complete parts (a) through (d).
Income Level
Less than More than
Tax Code $50,000
$50,000 Total
690
Fair
380
310
Unfair
315
175
490
Total
695
485
1180
a. What is the probability that an individual respondent thinks the tax code is unfair?
(Round to three decimal places as needed.)
b. What is the probability that an individual respondent thinks the tax code is unfair and makes less than $50,000?
(Round to three decimal places as needed.)
c. What is the probability that an individual respondent thinks the tax code is unfair or makes less than $50,000?
(Round to three decimal places as needed.)
d. Explain the difference in the results in (b) and (c).
O A. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not.
O B. The joint event in part (c) includes the possibility that just one of the two characteristics occurs.
O c. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not.
Click to select your answer(s).
Transcribed Image Text:A poll is conducted which asks participants to state whether they eam more or less than $50,000, and whether or not they think the tax code is fair. Suppose that the contingency table shown to the right represents the specific breakdown of responses. Complete parts (a) through (d). Income Level Less than More than Tax Code $50,000 $50,000 Total 690 Fair 380 310 Unfair 315 175 490 Total 695 485 1180 a. What is the probability that an individual respondent thinks the tax code is unfair? (Round to three decimal places as needed.) b. What is the probability that an individual respondent thinks the tax code is unfair and makes less than $50,000? (Round to three decimal places as needed.) c. What is the probability that an individual respondent thinks the tax code is unfair or makes less than $50,000? (Round to three decimal places as needed.) d. Explain the difference in the results in (b) and (c). O A. The two characteristics in part (b) are collectively exhaustive, while those in part (c) are not. O B. The joint event in part (c) includes the possibility that just one of the two characteristics occurs. O c. The two characteristics in part (b) are mutually exclusive, while those in part (c) are not. Click to select your answer(s).
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