Introduction to Probability and Statistics for Engineers and Scientists 5th Edition Ross Solutions M

FifthEdition

Instructor’sManualfor INTRODUCTIONTO

FORENGINEERSANDSCIENTISTS

PROBABILITYANDSTATISTICS

andOperationsResearch UniversityofCalifornia,Berkeley AMSTERDAM • BOSTON • HEIDELBERG • LONDON NEWYORK • OXFORD • PARIS • SANDIEGO SANFRANCISCO • SINGAPORE • SYDNEY • TOKYO AcademicPressisanimprintofElsevier Introduction to Probability and Statistics for Engineers and Scientists 5th Edition Ross Solutions Manual Full Download: http://testbanktip.com/download/introduction-to-probability-and-statistics-for-engineers-and-scientists-5th-edition-ross-solutions-manual/ Download all pages and all chapters at: TestBankTip.com

SheldonM.Ross DepartmentofIndustrialEngineering

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FifthEdition2014

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TableofContents Chapter1 ........................................... 1 Chapter2 ........................................... 2 Chapter3 ........................................... 5 Chapter4 ........................................... 11 Chapter5 ........................................... 18 Chapter6 23 Chapter7 26 Chapter8 32 Chapter9 ........................................... 38 Chapter10 .......................................... 42 Chapter11 .......................................... 45 Chapter12 .......................................... 46 Chapter13 .......................................... 48 Chapter14 .......................................... 50 Chapter15 53

Chapter1

1. Method(c)isprobablybest,with(e)beingthesecondbest.

2. In1936onlyuppermiddleclassandrichpeoplehadtelephones.Almostallvoters havetelephonestoday.

3. No,thesepeoplemusthavebeenprominenttohavetheirobituariesintheTimes; asaresulttheywereprobablylesslikelytohavediedyoungthanarandomlychosen person.

4. Locations(i)and(ii)areclearlyinappropriate;location(iii)isprobablybest.

5. No,unlessitbelievedthatwhetherapersonreturnedthesurveywasindependentof thatperson’ssalary;probablyadubiousassumption.

6. No,notwithoutadditionalinformationastothepercentagesofpedestriansthatwear lightandthatweardarkclothingatnight.

7. Heisassumingthatthedeathratesobservedintheparishesmirrorthatoftheentire country.

8. 12,246/.02 = 612,300

9. Usethemtoestimate,foreachpresentage x ,thequantity A(x ),equaltotheaverage additionallifetimeofanindividualpresentlyaged x .Usethistocalculatetheaverage amountthatwillbepaidoutinannuitiestosuchapersonandthenchargethatperson 1 + a timesthatlatteramountasapremiumfortheannuity.Thiswillyieldanaverage proﬁtrateof a perannuity.

10. 64percent,10percent,and48percent.

1

Chapter2

2. 360/r degrees.

6. (d)3.18

7. (c)119.14

8. Notnecessarily.Supposeatownconsistsof n menand m women,andthat a isthe averageoftheweightsofthemenand b istheaverageoftheweightsofthewomen. Then na and mb are,respectively,thesumsoftheweightsofthemenandofthe women.Hence,theaverageweightofallmembersofthetownis

na + mb

n + m = ap + b (1 p)

where p = n/(n + m) isthefractionofthetownmembersthataremen.Thus,in comparingtwotownstheresultwoulddependnotonlyontheaverageoftheweights ofthemenandwomeninthetownsbutalsotheirsexproportions.Forinstance,if townAhad10menwithanaverageweightof200and20womenwithanaverage weightof120,whiletownBhad20menwithanaverageweightof180and10 womenwithanaverageweightof100,thentheaverageweightofanadultintown Ais200

10. Itimpliesnothingaboutthemediansalariesbutitdoesimplythattheaverageofthe salariesatcompanyAisgreaterthantheaverageofthesalariesatcompanyB.

11. Thesamplemeanis110.Thesamplemedianisbetween100and120.Nothingcan besaidaboutthesamplemode.

12. (a)40.904 (d)8,48,64

13. (a)15.808 (b)4.395

(e)3 (f)2 (g) √

5.39

(d)44.5

(e)144.785

1 3 + 120 2 3 = 440 3 whereastheaveragefortownBis180 2 3 + 100 1 3 = 460 3 .

2

14. Since xi = nx and (n 1)s

,weseethatif x and y aretheunknown values,then x + y = 213and

15. No,sincetheaveragevalueforthewholecountryisaweightedaveragewherethe averagewageperstateshouldbeweightedbytheproportionofallworkerswho resideinthatstate.

19. (a)44.8

(b)70.45

20. 74,85,92

21. (a)84.9167

(b)928.6288

(c)57.5,95.5,113.5

25. (a).3496

(b).35

(c).1175

(d)no

(e)3700/55 = 67.3percent

26. (b)3.72067

(c).14567

28. Notifbothsexesarerepresented.Theweightsofthewomenshouldbeapproximatelynormalasshouldbetheweightsofthemen,butcombineddataisprobably bimodal.

30. Samplecorrelationcoefﬁcientis.4838

31. No,theassociationofgoodpostureandbackpainincidencedoesnotbyitselfimply thatgoodposturecausesbackpain.Indeed,althoughitdoesnotestablishthereverse (thatbackpainresultsingoodposture)thisseemsamorelikelypossibility.

32. Onepossibilityisthatnewimmigrantsareattractedtohigherpayingstatesbecause ofthehigherpay.

33. Samplecorrelationcoefﬁcientis.7429

Instructor’s Manual3

2

x 2 i nx 2

x 2 + y 2 = 5(104)2 + 64 1022 1002 1052 = 22,715 Therefore, x 2 + (213 x )2 = 22,715 Solvethisequationfor x andthenlet y = 213 x .

=

36. Morelikely,tallerchildrentendtobeolderandthatiswhytheyhadhigherreading scores.

37. Becausethereisapositivecorrelationdoesnotmeanthatoneisacauseoftheother. Therearemanyotherpotentialfactors.Forinstance,mothersthatbreastfeedmight bemorelikelytobemembersofhigherincomefamiliesthanmothersthatdonot breastfeed.

4Instructor’s Manual 34. If yi = a + bxi then yi −¯ y = b(xi −¯ x ),implyingthat (xi −¯ x )(yi −¯ y ) (xi −¯ x )2 (yi −¯ y )2 = b √b2 = b |b| 35. If ui = a + bxi , vi = c + dyi then (ui −¯u)(vi −¯ v ) = bd (xi −¯ x )(yi −¯ y ) and (ui −¯u)2 = b2 (xi −¯ x )2 , (vi −¯ v )2 = d 2 (yi −¯ y )2 Hence, ru,v = bd |bd | rx ,y

Introduction to Probability and Statistics for Engineers and Scientists 5th Edition Ross Solutions Manual Full Download: http://testbanktip.com/download/introduction-to-probability-and-statistics-for-engineers-and-scientists-5th-edition-ross-solutions-manual/ Download all pages and all chapters at: TestBankTip.com

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