Question: 3. A random variable x has the probability density p(x) = {Ae* (Ae-ax 0 (0 x 0) (x < 0). a. Determine the normalization

3. A random variable x has the probability density p(x) = {Ae* (Ae-ax 0 (0 x 0) (x < 0). a. Determine the normalization constant A in terms of . (5) b. Determine the mean value of x and its most probable value. (5) c. Determine the mean value of x. (10) d. Choose = 1 and determine the probability that a measurement of x yields a value between 1 and 2 (5)

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