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- A continuous random variable that can assume values between X = 2 and X 5 has a density function given by fx (x) = K (I +x). Find p (3 < X < 4)Let X and Y be two random variables with joint density function f(x,y) = (3 − x + 2y) / 60, for 1 < x < 3, 0 < y < 5. Find the marginal density functions. (Check that they are nonnegative and integrate to 1 before continuing further) Are X and Y independent? Explain.The joint density function of two continuous random variables X and Y is fxy(x, y) = (2x+y) if 2Let X be a continuous random variable with density function be-bx for a > 0 f (x) = otherwise where b > 0. - find M(t) the moment generating function of X, then what is E(x) ?Suppose that X and Y are continuous random variables with joint pdf given by c(x²+y?) 0Please solve this question in probability and statisticsRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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