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see attached image Problem 1. For a non-negative real number 3:, let [2:] be the largest integer that is less equal to 11:. Let X

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Problem 1. For a non-negative real number 3:, let [2:] be the largest integer that is less equal to 11:. Let X be an exponential random variable with expectation 1. (a) Find the density of X [X]. (b) Given that 0.4 S X [X] S 0.6, What is the conditional probability for [X] = 3

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