Suppose it is relatively easy to simulate from Fi for each i = 1, . . . , n. How can we simulate from

(a) F(x) =n i=1Fi(x)?

(b) F(x) = 1−n i=1(1 −Fi(x))?

(c) Give two methods for simulating from the distribution F(x) = xn, 0 <

x <1.