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Problem 2. Consider an investment with initial capital $2 000. The future value of this investment is random, denote it by X in thousand

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Problem 2. Consider an investment with initial capital $2 000. The future value of this investment is random, denote it by X in thousand of dollars. We know the density function of X, which is the following ct, 0t1, 1t2, f(t) = -ct + 3c, 0, 2

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