X -3 -2 0 1 3 f(x) 1/2 1/10 1/5 1/10 1/10 Questions: a) Compute the expectation E(x). b) Compute the variance of x. c) Find P(x < 1) and P(−2 < x ≤ 1). d) Plot the probability function (probability mass function) of X. e) Calculate and plot the cumulative distribution function F(x).

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