Chris and Alex are friends who have summer jobs as waiters. The distribution of Chris’s weekly tips is approximately normal with mean $225 and standard deviation $25. Alex works at a different restaurant; the distribution of his weekly tips is approximately normal with mean $240 and standard deviation $15. Assuming their weekly tips are independent, which is the probability that Chris will make more in tips than Alex in a randomly selected week? Show your work.
(A) 0.067
(B) 0.159
(C) 0.227
(D) 0.303
(E) 0.354