Question

(Optional topic) Should the government help the poor? In the 2014 General Social Survey, 32% of those sampled thought of themselves as Democrats, 45% as Independents, 21% as Republicans, and 2% as Other.23 When asked, "Should the government in Washington do everything possible to improve the standard of living of all poor Americans?," 23% of the Democrats, 18% of the Independents, 4% of the Republicans, and 15% of Others agreed. Given that a person agrees that the government in Washington should do everything possible to improve the standard of living of all poor Americans, use Bayes’ rule to find the probability the person thinks of him- or herself as a Democrat.

Answer 1

Answer:

0.71875

Step-by-step explanation:

Probability that a person thinks of himself as Democrat = P(A)= 0.32

Probability that a person agress that the govt. in Washington should do everything possible to improve the standard of living of poor= P(B)

Probability that a Democrat agress that the govt. in Washington should do everything possible to improve the standard of living of poor P(A ∩ B) = 0.23

P(B/A) = P(B∩A)/ P(A)

P(B/A)= 0.23/0.32

P(B/A) = 0.71875