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The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 26% are Republicans, 63% are Democrats and 11% are Independents. It is reported that 20% of the Republicans, 51% of the Democrats and 29% of Independents favor some type of corporate tax reform. Suppose a member of Congress is randomly selected and he/she is found to favor some type of corporate tax reform. What is the probability that this person is a Democrat

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Answer:

Check the explanation.

Step-by-step explanation:

Let, the total population is 1000.

The number of republicans are 26% that is 260, Democrats are 63% that is 630 and Independents are 11% of 1000, that is 110.

20% of 260 = [tex]\frac{20\times260}{100} = 52[/tex] Republicans favor some type of corporate tax reform.

51% of 630 = [tex]\frac{51\times630}{100} = 321.3[/tex] .

29% of 110 = [tex]\frac{29\times110}{100} = 31.9[/tex].

Total number of people, who favor some type of corporate tax is (52 + 321.3 + 31.9) = 404.2 ≅404.

The required probability is [tex]\frac{321}{404}[/tex].