Write a factorised probability expression for the full joint distribution p(A,B,C,D,E). Please order the terms so that a sequential sampler could be used to sample each conditional probability distribution in turn reading from left to right. (1 Mark) Which variables, if any, are independent of C when controlling for A i.e., assuming A is known (1 Mark) If the network described above was conditioned on B = b, what four proportional conditional probability distribution functions would one need to be able to calculate in order to perform this type of sampling? Please write out how you would compute them. (1 Mark)
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