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

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.