Suppose that the distribution function of X is given by F(x) = { 0 x < 0 x/4 0 ? x < 1 1/2 + (x-1)/4 1 ? x < 2 11/12 2 ? x < 3 1 x ? 3 (a) Find P(X = i), i = 0, 1, 2, 3. (b) Find P(1/2 < X < 3/2) (c) Find P(1 ? X < 3)
Added by Alvaro C.
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From the distribution function, we see that \(F(1) = 3\). Therefore, \(P(X = 1) = F(1) - F(1^-) = 3 - 0 = 3\). ** Show more…
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