A state senate has120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are liberal and 30 are conservative. Of the republicans, 30 are conservative and 15are liberal, a) Given that a senator is democrat, what is the probability that he or she is a liberal? b) Given that a senator is conservative, what is the probability that he or she is a republican? Round off your final answer to five decimal places

A state senate has120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are liberal and 30 are conservative. Of the republicans, 30 are conservative and 15are liberal, a) Given that a senator is democrat, what is the probability that he or she is a liberal? b) Given that a senator is conservative, what is the probability that he or she is a republican? Round off your final answer to five decimal places

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

(Use Baye's Theorem)

A state senate has120 senators; 75 are democrats and 45 are republicans. Of the Democrats, 45 are liberal and 30 are conservative. Of the republicans, 30 are conservative and 15are liberal,

a) Given that a senator is democrat, what is the probability that he or she is a liberal?

b) Given that a senator is conservative, what is the probability that he or she is a republican?

Round off your final answer to five decimal places

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