The variables J and M stand for the two events "John calls" and "Mary calls," respectively (~J means "John does not call" and can be applied similarly to other variables). A stands for "alarm sounds," B for "burglary occurs," and E for "Earthquake occurs." Suppose the following are known: PUJA) = 0.9 P(M|A) = 0.7 %3! PUJ-A) = 0.05 P(M|-A) = 0.01 %3! P(A|B,E) = 0.95 P(A|B,-E) = 0.94 %3! P(A|-B,E) = 0.29 P(A|-B,-E) = 0.001 P(B) = 0.001 P(E) = 0.002 For this problem, use this Bayesian network to compute the following: A. P(J,M|A) B. P(A|B) C. P(-A|B) D. PU,B,A) E. PUJB) F. P(J,M|B) G. PJ or M|B) H. P(B|J)
The variables J and M stand for the two events "John calls" and "Mary calls," respectively (~J means "John does not call" and can be applied similarly to other variables). A stands for "alarm sounds," B for "burglary occurs," and E for "Earthquake occurs." Suppose the following are known: PUJA) = 0.9 P(M|A) = 0.7 %3! PUJ-A) = 0.05 P(M|-A) = 0.01 %3! P(A|B,E) = 0.95 P(A|B,-E) = 0.94 %3! P(A|-B,E) = 0.29 P(A|-B,-E) = 0.001 P(B) = 0.001 P(E) = 0.002 For this problem, use this Bayesian network to compute the following: A. P(J,M|A) B. P(A|B) C. P(-A|B) D. PU,B,A) E. PUJB) F. P(J,M|B) G. PJ or M|B) H. P(B|J)
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...
Related questions
Question
11
Transcribed Image Text:The variables J and M stand for the two events "John calls" and "Mary calls," respectively (~J means
"John does not call" and can be applied similarly to other variables). A stands for "alarm sounds," B
for "burglary occurs," and E for "Earthquake occurs." Suppose the following are known:
PUJA) = 0.9
P(M|A) = 0.7
P(JI-A) = 0.05
P(M|-A) = 0.01
%3!
P(A|B,E) = 0.95
P(A|B,-E) = 0.94
%3!
P(A|-B,E) = 0.29
P(A|-B,-E) = 0.001
P(B) = 0.001
P(E) = 0.002
For this problem, use this Bayesian network to compute the following:
A. P(J,M|A)
В. Р(АIВ)
C. P(-A|B)
D. PU,B,A)
E. PUJB)
F. P(U,M|B)
G. P(J or M|B)
H. P(B|J)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON