Question

Consider three binary random variables X, Y, Z with domains {+x, -x}, {+y, -y}, and {+z,...

Consider three binary random variables X, Y, Z with domains {+x, -x}, {+y, -y}, and {+z, -z}, respectively. Please use summation notation

a) Express P(X) in terms of the joint distribution P(X,Y,Z)

b) Express P(X) in terms of P(Z), P(Y|Z), and P(X|Y, Z)

c) Expand the sums from part (b) to express the two elements of P(X), (P(+x) and P(-x)) in terms of the individual probabilities (e.g. P(-c) instead of P(C))

Math   Statistics-And-Probability   
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