Answer Happy

4. Suppose that the density f of the r.v. X satisfies: (i) f(x) = 0 for x & [0, 3]; (ii) f is continuous in (0,3); (iii) f is constant in [0, 1]; (iv) f is linear in (1, 3); (v) 2f(1) = f(3). Find P{< X < }}