3.18 A continuous random variable X that can as- 5 has a density sume values between x = 2 and x = function given by f(x) = 2(1+x)/27. Find (a) P(X < 4); (b) P(3 < X < 4). 3.19 For the density function of Exercise 3.17, find F(x). Use it to evaluate P(2 < X < 2.5). 3.20 For the density function of Exercise 3.18, find F(x), and use it to evaluate P(3 ≤ X < 4).

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