Please answer parts (a)-(f). Let X, denote a standard (one-dimensional) Brownian motion. Find the following probabilities. Give your answers as rational numbers or decimals to at least three places.
( a ) X2 > 2
(b) X2 > XI
(c) X2 > XI > X3
(d) Xt = 0 for some t with 2 < t ? 3
(e) X+ < 4 for all t with 0 < t < 3
(f) Xt > 0 for all t > 10.