Homework: Ch 5.1 Probabilities & Counting Score: 0 of 1 pt 4.2.23 Save 5 of 12 (

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Homework: Ch 5.1 Probabilities & Counting Score: 0 of 1 pt 4.2.23 Save 5 of 12 (6 complete) Score: 47.92%, 5.75 of 12 Question Help Income Level In a survey of 1010 adults, it was reported that almost 60% of all people said the tax code is unfair, whereas slightly more than 60% of those making more than $50,000 viewed the code as unfair. Suppose that the contingency table to the right represents the specific breakdown of responses. Complete parts a through c Less than $50,000 air Unfair Total More than $50,000 190 310 500 Total 435 575 1010 265 510 a. Given that a respondent eams less than $50,000, what is the probability that he or she said that the tax code is fair? Plfairless than S50,000- (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer Check Answe Clear All parts remaining

Explanation / Answer

Solution:

Conditional probability
Probability (Fair | Less than $50,000)
= P (Fair and Less than $50,000) / P (Less than $50,000)
= P(A | B) = P (A and B) / P (B)
= 245/1.01 / 510/1010
= 48.03%

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