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Question: Suppose that the joint probability distribution of X and Y is given by the following table.
(a) Are X and Y independent? Explain.
(b) Find the marginal distributions of X and Y.
(c) Find the conditional distribution of Y given X = 1 and hence E(Y|X = 1) and vart (Y|X = 1).
(d) Repeat part (c) for X = 2 and X = 3 and hence verify the result that V( Y) = EV( Y I X) + VE(Y|X) that is the variance of a random variable is equal to the expectation of its conditional variance plus the variance of its conditional expectation.
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According to Thomson Financial. through January 25. 2006. the majority of companies reporting profits had beaten estimates (BusinessWeek. February 6. 2006).
If the option has N look-at dates, how many (pseudo-)random numbers will be needed per path? What if the jumps are not log-normal?
Graph the OC curve for the double sampling plan with n1 = 20, n2 = 10, c1 = 3, and c2 = c3 = 5, as described in this section. If you are doing this by hand.
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Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet ava..
The automobile industry sold 6571)00 vehicles in the United States during January 2009 (The Wall Street Journal. February 4. 2009).
A telephone survey to determine viewer response to a new television show obtained the following data.
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It will be worth one of 90, 100 and 110 tomorrow. If the call option stuck at 100 is worth 2, give optimal no-arbitrage bounds on a call option struck at 105.
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