Question: Let T' be an exponential random variable with rate A = 3 and let X := e-T. 1. What are the possible values of X?

Let T' be an exponential random variable with rate A = 3 and let X := e-T. 1. What are the possible values of X? O [1, 00) O (0, 1] O (-00, 00) O [0, 00) 2. Which is the pdf of X? O fx(x) = 10 3e if x > 1, otherwise. O fx(x) = 3x2 if r E (0, 1), 0 otherwise. O 3e ke fx(I) = 10 if r > 0, otherwise. O fx(x) = 3x2 for every I. [If necessary, round your answers to three decimal places.]

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