(a) Consider the probabilistic graphical model in Figure Q.2. Each of the four nodes has at least 2 possible states. For instance, V may have 3 possible states, etc (i) What is the maximum-and what is the minimum-number of parameters required to complete this probability model. Define these probability parameters in the general case (i) Write down an expression for Pr[Y AH in terms of your probability parameters in (i). Figure Q.2

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q.2
(a) Consider the probabilistic graphical model in Figure Q.2. Each of the four nodes has at least 2
possible states. For instance, V may have 3 possible states, etc
(i) What is the maximum-and what is the minimum-number of parameters required to
complete this probability model. Define these probability parameters in the general case
(i) Write down an expression for Pr[Y AH in terms of your probability parameters in (i).
S.
Figure Q.2
Transcribed Image Text:Q.2 (a) Consider the probabilistic graphical model in Figure Q.2. Each of the four nodes has at least 2 possible states. For instance, V may have 3 possible states, etc (i) What is the maximum-and what is the minimum-number of parameters required to complete this probability model. Define these probability parameters in the general case (i) Write down an expression for Pr[Y AH in terms of your probability parameters in (i). S. Figure Q.2
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