1. Given a wiener processW(t) with parameter α, we form the processes X(t) = W(t2).
Describe that X(t) is normal with mean zero. Furthermore, if t1 x (t1,t2)= αt12
2. Let Wt be a wiener process and t denote the time. Is stochastic process Xt - 2Wt +t martingale? Describe.