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As in Problem 4 in §10.1, let X1, X2,... , be i.i.d. real random variables with E |X1| ∞. Let Sn := X1 +· · · + Xn . For n = 1, 2,... , let T-n := Sn/n. Let B-n be the smallest σ-algebra for which Sk are measurable for all k ≥ n. Show that {Tk, Bk }k≤-1 is a reversed martingale and {|Tk |, Bk }k≤-1 is a reversed submartingale.
Compare population means or proportions to determine the relationship between variables.
Manufacturing Cost The weekly production cost C (in dollars) of manufacturing x hand calculators is given by the formula C = 6000 + 8x - x 2 / 1000. What is the cost of producing 1000 hand calculators?
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a random and indepently chosen sample of four bags of marbles each labeled 20 pounds had weights of 20.5 19.8 20.8 and
The organization that you work for has been thinking about implementing an ERP system. They have asked you to prepare a summary of this topic. Research the subject of ERP implementations to determine what problems and issues companies have encount..
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