课件案例介绍meng tz0 mathematics paper 3 statistics and probability.pdf

M14/5/MATHL/HP3/ENG/TZ0/SP

MATHEMATICS

HIGHERLEVEL

PAPER3–STATISTICSANDPROBABILITY

Thursday15May2014(afternoon)

1hour

INSTRUCTIONSTOCANDIDATES

 Donotopenthiaminationpaperuntilinstructedtodoso.

 Answerallthequestions.

 Unlessotherwisestatedinthequestion,allnumericalanswersshouldbegivenexactlyor

correcttothreesignicantgures.

 Agraphicdisplaycalculatorisrequiredforthispaper.

 AcleancopyoftheMathematicsHLandFurtherMathematicsHLformulabookletisrequired

forthispaper.

 Theummarkforthiaminationpaperis[60marks].

2214-72105pages

©InternationalBaccalaureateOrganization2014

–2–M14/5/MATHL/HP3/ENG/TZ0/SP

Pleasestarteachquestiononanege.Fullmarksarenotnecessarilyawardedforacorrectanswer

withnoworking.Answersmustbesupportedbyworkingand/orexplanations.Inparticular,solutions

foundfromagraphicdisplaycalculatorshouldbesupportedbysuitableworking.Forexample,ifgraphs

areusedtofindasolution,youshouldsketchtheseaspartofyouranswer.Whereananswerisincorrect,

somemarksmaybegivenforacorrectmethod,providedthisisshownbywrittenworking.Youaretherefore

advisedtoshowallworking.

1.[ummark:14]

TherandomvariableXhasprobabilitydistributionPo(8).

(a)(i)FindP(X6).

(ii)FindP(X6|5=≤X≤8).[5]

(b)Xdenotesthesamplemeanofn1tobservationsfromX.

(i)Writedo