Question

11. A, B, C, and D are variables and you only have these quantities available to you: Pr(A), Pr(B), Pr(C), Pr(A | D), Pr(B | D), Pr(C | D), Pr(D | A), Pr(A,B), Pr(C,D), Pr(A | C,D), Pr(B | C,D), Pr(C | A,B), Pr(D | A,B) Assume that C and D are conditionally independent given A and B. Which set of terms is sufficient to compute Pr(A,B | C,D)? Pr(C | A,B), Pr(D | A,B), Pr(A,B), Pr(C,D) Pr(A | D), Pr(B | D) Pr(A | C,D), Pr(B | C,D), Pr(C), Pr(D) Pr(A | C,D), Pr(B | C,D)

          11. A, B, C, and D are variables and you only have these quantities available to you:
Pr(A), Pr(B), Pr(C), Pr(A | D), Pr(B | D), Pr(C | D), Pr(D | A), Pr(A,B), Pr(C,D), Pr(A | C,D), Pr(B | C,D), Pr(C | A,B), Pr(D | A,B)
Assume that C and D are conditionally independent given A and B. Which set of terms is sufficient to compute Pr(A,B | C,D)?
Pr(C | A,B), Pr(D | A,B), Pr(A,B), Pr(C,D)
Pr(A | D), Pr(B | D)
Pr(A | C,D), Pr(B | C,D), Pr(C), Pr(D)
Pr(A | C,D), Pr(B | C,D)

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11. A, B, C, and D are variables and you only have these quantities available to you:
Pr(A), Pr(B), Pr(C), Pr(A | D), Pr(B | D), Pr(C | D), Pr(D | A), Pr(A,B), Pr(C,D), Pr(A | C,D), Pr(B | C,D), Pr(C | A,B), Pr(D | A,B)
Assume that C and D are conditionally independent given A and B. Which set of terms is sufficient to compute Pr(A,B | C,D)?
Pr(C | A,B), Pr(D | A,B), Pr(A,B), Pr(C,D)
Pr(A | D), Pr(B | D)
Pr(A | C,D), Pr(B | C,D), Pr(C), Pr(D)
Pr(A | C,D), Pr(B | C,D)

Added by Brian V.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Jon Southam

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To compute Pr(A, B, C, D), we need to consider the variables A, B, C, and D and their conditional probabilities. Show more…

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How to answer this question? 11. A, B, C, and D are variables and you only have these quantities available to you. Assume that C and D are conditionally independent given A and B. Which set of terms is sufficient to compute Pr(A, B, C, D)? Pr(C|A, B), Pr(D|A, B), Pr(A, B), Pr(C, D) Pr(A|D), Pr(B|D) Pr(A|C, D), Pr(B|C, D), Pr(C), Pr(D) Pr(A|C, D), Pr(B|C, D)

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