Consider the probability density function given by (Ae-x, f (x) : (0, 0 < x < 1 = otherwise Where A is a constant. a. Determine the cumulative distribution function? What is A? b. What is the probability that x is between 0.25 and 0.50? What is the probability that x is less than 0.75? d. Find the mean, variance, and standard deviation of the random variable x. С.

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