Question: 11. Counterexample. Let X be a random variable taking on the values -1,0.1,2, . . . with probabilities Po{ X = -I} = 8; P8{X=

11. Counterexample. Let X be a random variable taking on the values -1,0.1,2, . . . with probabilities Po{ X = -I} = 8; P8{X= x} = (1- 8)28x, x = 0.1 •. . . . Then gJ = {P8 , 0 < 8 < I} is boundedly complete but not complete.

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