A Bayesian network has four variables: C,S,R,W, where -- C is independent, with P(C)=0.5 -- S is conditional on C, with P(S|C)=0.1, and P(S|~C)=0.5 -- R is conditional on C, with P(R|C)=0.8, and P(R|~C)=0.2 -- W is conditional on S and R, with P(W|S,R)=0.99, P(W|S,~R)=0.9, P(W|~S,R)=0.9,P(W|~S,~R)=0. a) List possible states of this world. b) Calculate the probability P(R|S).

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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