Question: Consider the event space def = [0, 1) with probability measure dx. Consider the partition P def = {[0, 1/3), [ 1/3, 2/3), [ 2/3,

Consider the event space def = [0, 1) with probability measure dx. Consider the partition P def = {[0, 1/3), [ 1/3, 2/3), [ 2/3, 1)} . Assume that f : R is such that E f P (x) = 51[0,1/3)(x) 21[1/3,2/3)(x) 61[2/3,1)(x) Define g(x) = 41[0,1/3)(x) 21[1/3,2/3)(x). and compute E[fg]

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