In this question we consider conditional distributions for binary random variables, expressed as tables. a. A, B,
Question:
In this question we consider conditional distributions for binary random variables, expressed as tables.
a. A, B, C, and D are binary random variables. How many entries are in the following conditional probability tables and what is the sum of the values in each table?
(i) P(A | C)
(ii) P(A, D | B = true, C = true)
(iii) P(B | A = true, C, D)
b. Consider the conditional distribution P(X1, . . . Xℓ | Y1, . . . , Ym, Z1 = z1, . . . Zn = zn, represented as a complete table. Assuming that all variables are binary, derive expressions for the number of the probabilities in the table and their sum.
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a i PA C 4 and 2 ii PA D B true C true 4 and 1 iii PB A true C D 8 and 4 b Because ...View the full answer
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Related Book For 
Artificial Intelligence A Modern Approach
ISBN: 9780134610993
4th Edition
Authors: Stuart Russell, Peter Norvig
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