A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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2. Complete a tree diagram with two stages-where the first stage has outcomes A and B and the second stage
has outcomes X and Y-given the following information: Pr[A] = 2/3, Pr[X|A] = 1/7, Pr[B[X] = 49/58,
Pr[Y|B] = 2/9. (Be careful! You do not need all of the preceding information to fill out the tree. Make
sure you know which probabilities tell you something on the tree and which ones do not!)
Answer the following questions:
(a) What is Pr[Y]?
(b) What is Pr[Y|A]?
(c) What is Pr[A|Y]?
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Transcribed Image Text:2. Complete a tree diagram with two stages-where the first stage has outcomes A and B and the second stage has outcomes X and Y-given the following information: Pr[A] = 2/3, Pr[X|A] = 1/7, Pr[B[X] = 49/58, Pr[Y|B] = 2/9. (Be careful! You do not need all of the preceding information to fill out the tree. Make sure you know which probabilities tell you something on the tree and which ones do not!) Answer the following questions: (a) What is Pr[Y]? (b) What is Pr[Y|A]? (c) What is Pr[A|Y]?
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