rework problem 4 from section 3.4 of your text, involving probabilities on a tree diagram. Construct a copy of figure 3.17 in your text, where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text: Pr[X]=4/7 Pr[Y]=1/7 Pr[Z]=2/7 Pr[A|X]=4/5 Pr[B|X]=1/5 Pr[A|Y]=2/3 Pr[B|Y]=1/3 Pr[A|Z]=7/8 Pr[B|Z]=1/8 Find the following missing probabilities: (1) Pr[B|Y]= (2) Pr[Y|B]= (3) Pr[(XorY)|B]=

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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rework problem 4 from section 3.4 of your text, involving probabilities on a tree diagram.

Construct a copy of figure 3.17 in your text, where the first outcome is one of X, Y, and Z, and the second outcome in each case is one of A and B. Use the following probabilities instead of those given in your text:

Pr[X]=4/7
Pr[Y]=1/7
Pr[Z]=2/7
Pr[A|X]=4/5
Pr[B|X]=1/5
Pr[A|Y]=2/3
Pr[B|Y]=1/3
Pr[A|Z]=7/8
Pr[B|Z]=1/8

Find the following missing probabilities:

(1) Pr[B|Y]=
(2) Pr[Y|B]=
(3) Pr[(XorY)|B]= 

 

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