Question: 1. On domain X E {-2, -1, 0, 1, 2}, let probability distribution function f be defined by f (x) = (x - 1)2. (a)

1. On domain X E {-2, -1, 0, 1, 2}, let probability distribution function f be defined by f (x) = (x - 1)2. (a) Make a table of function values and cumulative function values. Verify that f is a PDF. (b) By using (i) the f values and (ii) the F values, calculate P(x 2 0). (c) Find the expected value and the variance. 2. A random variable X has binomial distribution, n = 12. (a) If p = 0.25, find (i) P(X

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