2. Suppose X has pdf = {ke-ka 0 x 0 otherwise for some real number...

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2. Suppose X has pdf = {ke-ka 0 x ≥ 0 otherwise for some real number k>0. It can be shown that the mgf of X is M (t) = = f(x) = for t <k. Use this result to solve the following problem: The value of a piece of factory equipment after 3 years of use is 100(.5)* where X has moment generating function M (t) = for t <.5. Calculate the expected value of the value of this piece of equipment after 3 years of use. 1-2t 2. Suppose X has pdf = {ke-ka 0 x ≥ 0 otherwise for some real number k>0. It can be shown that the mgf of X is M (t) = = f(x) = for t <k. Use this result to solve the following problem: The value of a piece of factory equipment after 3 years of use is 100(.5)* where X has moment generating function M (t) = for t <.5. Calculate the expected value of the value of this piece of equipment after 3 years of use. 1-2t 2. Suppose X has pdf = {ke-ka 0 x ≥ 0 otherwise for some real number k>0. It can be shown that the mgf of X is M (t) = = f(x) = for t <k. Use this result to solve the following problem: The value of a piece of factory equipment after 3 years of use is 100(.5)* where X has moment generating function M (t) = for t <.5. Calculate the expected value of the value of this piece of equipment after 3 years of use. 1-2t 2. Suppose X has pdf = {ke-ka 0 x ≥ 0 otherwise for some real number k>0. It can be shown that the mgf of X is M (t) = = f(x) = for t <k. Use this result to solve the following problem: The value of a piece of factory equipment after 3 years of use is 100(.5)* where X has moment generating function M (t) = for t <.5. Calculate the expected value of the value of this piece of equipment after 3 years of use. 1-2t

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Since the expected value of X is EX M0 we have EX M0 ... View the full answer