1. Suppose that X is a random variable with pdf:  f(x) = (2x + 1)/6, 0 < x < 2.   (a)Find the cdf . Give the complete cdf for any real value of x. (b)Find the mean and variance of X. (c)Verify that Chebyshev’s Theorem holds for k = 5/3. (d) Find P(0.10 < X < 0.50) using the cdf in (a).

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