Consider a decision problem having environmental states X = {x1, x2, x3} with P(X = x1) = 0.21 , P(X = x2) = 0.43 and P(X = x3) = 0.36 . Suppose survey information is available for this decision problem in the form of a survey variable S = {s1, s2, s3} for which historical data suggests that P(S|X) Environment X x1 x2 x3 Survey S s1 0.40 0.34 0.27 s2 0.26 0.35 0.32 s3 0.34 0.31 0.41

Given this survey information, determine all of the probabilities required to incorporate this survey information into a decision tree. Give your answers rounded to 4 decimal places.