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Write the joint distribution of x1, x2, x3, x4, x5 and x6 as a product of chain conditional probabilities for the following network.

Updated: May 27


This question is based on Baye's Theorem. The joint distribution of x1, x2, x3, x4, x5 and x6 is represented by P(x1, x2, x3, x4, x5, x6).


P(x1, x2, x3, x4, x5, x6) = P(x1) × P(x2 | x1) × P (x3 | x1) × P(x4 | x3 | x2 | x1) × P(x5 | x3 | x2) × P(x6 | x5)


As we can see in join distribution, along with the element we must write its immediate parent as well.

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3 Comments


Guest
May 27

Thanks bhai❣️

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Guest
May 27

Why didnt we take X1 X2 X3 as parents of X4?

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Unknown member
May 27

thanks for the solution


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