Let W(t) be a standard Brownian motion. (a) Calculate the probability P(W(1) + W (2) > 2). (b) Show that the time-inverted process W(t) = = nian motion. (c) The stochastic process W(t) = |W(t)| = tW() is also a standard Brow- W (t), if W (t) 0; -W(t), if W(t) < 0 is called Brownian motion reflected at the origin. Calculate the mean and variance of W(t).