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

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, . . . X_ℓ | Y₁, . . . , Y_m, Z₁ = z₁, . . . Z_n = z_n, 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 full answer

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