4.17. Suppose that the distribution function of X is given by F(b) = {0 b < 0; b/4 0 <= b < 1; 1/2 + (b - 1)/4 1 <= b < 2; 11/12 2 <= b < 3; 1 3 <= b} a. Find P{X = i}, i = 1, 2, 3. b. Find P{1/2 < X < 3/2}.
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\[P\{X = 1\} = F(1) - F(0) = \frac{1}{4} - 0 = \frac{1}{4}\] Show more…
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