A random variable x has the probability density = {Ae-xx 0 p(x) = (0 x 00) (x < 0). a. Determine the normalization constant A in terms of . b. Determine the mean value of x and its most probable value. c. Determine the mean value of x. d. (5) (5) (10) Choose = 1 and determine the probability that a measurement of x yields a value between 1 and 2 (5)