MATH 425 Final: MATH 425 Final Exam Fall 2015
Document Summary
First practice final exam: from a well-shu ed pack of 52 cards, 13 are dealt face up. What is the probability that none of these 13 cards is a spade: in the expansion of (x + 2y + 3z)5, what is the coe cient of xy2z2, (a) a man has two children. Given that at least one of them is a boy, what is the probability that they are both boys? (b) a man has two children. Are e and f independent: let x and y be independent random variables both with mean 0 and variance 1. Compute cov(x + y, 2x + y ): five people go to a bookstore to buy one best-selling book each, choosing independently. If so, what: a fair die is rolled to give a random number from 1 to 6, and a fair coin is tossed that many times.
