Consider the Bayesian network in the figure below. Suppose Wis instantiated (i.e, given) for w. P(x,) = .1 P(y,|x,) = .6 P(y,\x,) = .2 P(z,|x,) = .7 P(z,|x,) = .1 Y т P(w,ly,) = .9 P(w,ly) = .3 P(t,|z,) = .8 P(t,|z,) = .1 What is the value of P(yI m)? Select one: O a. 0.486 O b.0.24 O c. 0.198 O d. 0.444

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.1: Inner Product Spaces
Problem 12EQ
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Consider the Bayesian network in the figure below. Suppose Wis instantiated (i.e, given) for w.
P(x,) = .1
P(y,|x,) = .6
P(y,\x,) = .2
P(z,|x,) = .7
P(z,|x,) = .1
Y
т
P(w,ly,) = .9
P(w,ly) = .3
P(t,|z,) = .8
P(t,|z,) = .1
What is the value of P(yI m)?
Select one:
O a. 0.486
O b.0.24
O c. 0.198
O d. 0.444
Transcribed Image Text:Consider the Bayesian network in the figure below. Suppose Wis instantiated (i.e, given) for w. P(x,) = .1 P(y,|x,) = .6 P(y,\x,) = .2 P(z,|x,) = .7 P(z,|x,) = .1 Y т P(w,ly,) = .9 P(w,ly) = .3 P(t,|z,) = .8 P(t,|z,) = .1 What is the value of P(yI m)? Select one: O a. 0.486 O b.0.24 O c. 0.198 O d. 0.444
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