8. A traveling salesman can be found at one of four cities (C1, C2, C3 and C4) at any given time. The probabilities of being at these cities are: P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) = 1/2. He always carries his cellphone with him. Let X be the event that his cellphone has coverage. The probabilities that his cellphone has coverage knowing in which city he is, are as following: P(XC1) = 1/2, P(X|C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4. What is the probability of X?

8. A traveling salesman can be found at one of four cities (C1, C2, C3 and C4) at any given time. The probabilities of being at these cities are: P(C1) = 1/8, P(C2) = 1/8, P(C3) = 1/4, P(C4) = 1/2. He always carries his cellphone with him. Let X be the event that his cellphone has coverage. The probabilities that his cellphone has coverage knowing in which city he is, are as following: P(XC1) = 1/2, P(X|C2) = 1, P(X|C3) = 3/4, P(X|C4) = 3/4. What is the probability of X?

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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