Summary: ISyE 2027 Exam # 2
Please be neat and show all your work so that I can give you partial credit.
(25) 1. Suppose we roll two dice and let X and Y be the two numbers that
appear on the dice. (a) Find the probability mass function of |X - Y |.
(b) Find the expected value of |X - Y |.
(25) 2. Suppose that the probability of a defect in a foot of magnetic tape
is 0.002. Use the Poisson approximation to binomial to compute the prob-
ability that a 1500 foot long tape has no defects.
(b) If X has a uniform distribution on (1, 5) compute E(X3).?