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Fe Problem 5. Let U be a uniform variable on [0, 1) and let T be an independent exponential variable with rate . Given /

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Fe Problem 5. Let U be a uniform variable on [0, 1) and let T be an independent exponential variable with rate . Given / = u and T = t, let Z be a normal variable with mean u and variance f. Find the variance of Z. Please express your answer as a single simplified fractions

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