Final Exam with Answers - Probability and Statistics in Engineering I | IE 23000, Exams of Probability and Statistics

Download Final Exam with Answers - Probability and Statistics in Engineering I | IE 23000 and more Exams Probability and Statistics in PDF only on Docsity! s IE 230 — Probability & Statistics in Engineering I \ iv Name € 9. (Montgomery & Runger, 5-126) An airline makes 200 reservations for a flight that holds 185 passengers. The probability that a passenger arrives for the flight is 0.9. Let Y 5) ; 4 p on denote the number of passengers who arrive. eo” (a) Y has a binomial distribution if ... Passeng era Ae. i nbeperdek. (b) Assume that Y is binomial. Find py. he as = (200) Ga) = [BO passengers eee (c) Assume that Y is binomial. Find oy. oy = Vre lp) oo). GN a~ 424 passer ge ee (d) Assume that Y is binomial. Write the exact expression for the probability that all passengers who arrive can be seated. (You don’t need to evaluate the expression, but it should be so complete that it can be evaluated by someone who doesn’t understand probability.) Platsed d= PCY S185) =F (Pe a = 300~ Se eo aoe 200 4 y = 4 = ox (74 )i1) Cl (e) Let X be a normal random variable Pith mean ly and standard deviation Gy. Write an event in terms of X that approximates the probability in part (d). (Use the continuity correction.) aoe ey a W it (f) Approximately, the value of the answer to Part (d) is @001 Gi03 (iv) 0.99 Final Exam, Fall 2000 Page 7 of 8 Schmeiser