In the US the North and South are quite different. Below is the joint probability distribution of political affiliation (R = Republican, I = Independent and D = Democrat) for a Northern city and a Southern city. (a) (b) R I D Southern 0.24 0.04 0.12 Northen 0.18 0.12 0.30 (a) What is the probability of selecting a Republican given that we sample from the Northern city? (b) Are political affiliation and region of residence statistically independent random variables? Explain.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
Question
In the US the North and South are quite different. Below is the joint probability distribution of political affiliation (R = Republican, I = Independent and D =
Democrat) for a Northern city and a Southern city.
(a)
(b)
R I D
Southern 0.24 0.04 0.12
Northen 0.18 0.12 0.30
(a) What is the probability of selecting a Republican given that we sample from the Northern city?
(b) Are political affiliation and region of residence statistically independent random variables? Explain.
Transcribed Image Text:In the US the North and South are quite different. Below is the joint probability distribution of political affiliation (R = Republican, I = Independent and D = Democrat) for a Northern city and a Southern city. (a) (b) R I D Southern 0.24 0.04 0.12 Northen 0.18 0.12 0.30 (a) What is the probability of selecting a Republican given that we sample from the Northern city? (b) Are political affiliation and region of residence statistically independent random variables? Explain.
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