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University of Toronto St. George
Iris Wu

ECMB11H3F L01 L30 L60 Quantitative Methods in Economics I Final ExaminationWednesday December 14 2011 24 pm Instructor Victor YuLast Name Print SolutionFirst Name PrintStudent NumberCircle your sectionL01 Tuesday L30 Wednesday L60 OnlineDeferred ExamAids allowedCalculator and two aid sheets four 85x11 pages written or typed on both sidesTime allowed Two 2 hoursThis exam consists of 22 questions in 12 pages including this cover pageIt is the students responsibility to hand in a complete examAny missing page will get a zero markStatistical table Standard Normal and t are provided separatelyShow your work in part 2No marks will be given if you do not show your workThis exam is worth 40 of your course grade Do not write on the space below for markers only Page Question Max Mark 26 117 517 18 58 19abc 99 20abc 1010 21ab 101112 22ab 15 Total 100 1Part 1 Multiple Choice 3 marks for each question Select the BEST answer No part marks1 Let X be a Binomial random variable with nnumber of independent trials Xand pPsuccess05 Supposeand n is largeThe 050550Pnvalue of n is approximately equal to a 200b 231c 253 d 271 e 385 XSolution Let Given thatwe have p050550pPn50550pp05010nZP050P5050nnpq 645110n271n 2 Let X be a random variable that can be described by a distribution 1 for Letbe a random sample XXXxXP54321x3621536from this distributionThe probabilityis closest to 90XPi1i a 055 b 075 c 0783 d 095e 0983SolutionxXxPXEx111113543215555522xXPxXVarx11111222222353433323155555363619090XP52XPXPii36361i1i352X0983 P122ZP362n2
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