Statistics 301: Review
Questions and Answers
Updated 2026
(R-
QuizB5)BOnBaBgivenBday,BaBchickenBhasBaB20%BchanceBofBlayingBnoBeggs,BaB40%Bch
anceBofBlayingBoneBegg,BandBaB40%BchanceBofBlayingBtwoBeggs.BWhatBisBtheBexpect
edBnumberBofBeggsBthisBchickenBwouldBlayBinB30Bdays?B-B36
(R-
QuizB5)BOnBaBgivenBday,BaBchickenBhasBaB20%BchanceBofBlayingBnoBeggs,BaB40%Bch
anceBofBlayingBoneBegg,BandBaB40%BchanceBofBlayingBtwoBeggs.BWhatBisBtheBstanda
rdBerrorBofBtheBmeanBnumberBofBeggsBlaidBoverB30Bdays?B-B0.137
(R-
QuizB5)BOnceBitBhasBsprouted,BanBoakBtreeBhasBanB8%BchanceBofBsurvivingBuntilBma
turity.BWhatBisBtheBstandardBerrorBofBtheBnumberBofBoakBtreesBthatBwillBsurviveBtoB
maturityBoutBofB160Bsprouts?B-B3.43
(R-QuizB6)BTheBCentralBLimitBTheoremBstates:
WhenBdrawingBatBrandomB(AnswerB1)BfromBanB(AnswerB2)BtheB(AnswerB3)BforBtheB(
AnswerB4)BwillBfollowBtheBnormalBcurve,BevenBifBtheBcontentsBofBtheBboxBdoBnot.BT
heBnumberBofBdrawsBmustBbeBreasonablyBlarge.B-BAnswerB1:BwithBreplacement
AnswerB2:Bbox
AnswerB3:BprobabilityBhistogram
AnswerB4:Bsum
, (R-
QuizB6)BABprobabilityBhistogramBisBaBrepresentationBofB(AnswerB1)B.BAnBempiricalBhis
togramBisBaBhistogramBofB(AnswerB2)B.B-
BAnswerB1:AllBpossibleBoutcomesBofBaBchanceBprocess
AnswerB2:data
(R-
QuizB6)BTheBfollowingBgraphBrepresentsBtheBprobabilityBhistogramBforBtheBnumberBof
BheadsBinB100BtossesBofBaBcoin.B-
BTheBexpectedBvalueBforBtheBnumberBofBheadsBisB50BandBtheBstandardBerrorBisB5B.
(R-
QuizB6)BAnBexpressionBweBcanBuseBtoBmakeBreferenceBtoBprobabilityBhistogramBis:B-
BSamplingBdistribution
(R-
QuizB6)TheBstandardBdeviationBofBtheBsampleBmeansB(draws)BisBsmallerBthanBtheBsta
ndardBdeviationBinBtheBpopulationB(box).B-BTrue
(R-
QuizB7)BSupposeBweBgoBtoBthatBplantBstoreBagainBandBbuyBaBbag,BthisBoneBcontaini
ngB10,000Bseeds.BWeBwantBtoBknowBtheBpercentageBofBseedsBinBtheBbag,BsoBweBta
keBoutB100BseedsBandBplantBthem.BWeBcountBtheBnumberBofBblueBflowersBandBuseB
thatBasBourBguessBforBtheBpercentageBofBblueBseedsBinBtheBbag.
TheB10,000BseedsBisBourBpopulationB,BandBtheB100BseedsBisBourBsampleB.BTheBprop
ortionBofBblueBflowerBseedsBinBtheBbagBisBourBparameterB,BandBtheBproportionBofBb
lueBflowerBseedsBinBtheB100BthatBweBtookBoutBisBourBestimateB.B-
BAnswerB1:population
AnswerB2:sample
AnswerB3:parameter
Questions and Answers
Updated 2026
(R-
QuizB5)BOnBaBgivenBday,BaBchickenBhasBaB20%BchanceBofBlayingBnoBeggs,BaB40%Bch
anceBofBlayingBoneBegg,BandBaB40%BchanceBofBlayingBtwoBeggs.BWhatBisBtheBexpect
edBnumberBofBeggsBthisBchickenBwouldBlayBinB30Bdays?B-B36
(R-
QuizB5)BOnBaBgivenBday,BaBchickenBhasBaB20%BchanceBofBlayingBnoBeggs,BaB40%Bch
anceBofBlayingBoneBegg,BandBaB40%BchanceBofBlayingBtwoBeggs.BWhatBisBtheBstanda
rdBerrorBofBtheBmeanBnumberBofBeggsBlaidBoverB30Bdays?B-B0.137
(R-
QuizB5)BOnceBitBhasBsprouted,BanBoakBtreeBhasBanB8%BchanceBofBsurvivingBuntilBma
turity.BWhatBisBtheBstandardBerrorBofBtheBnumberBofBoakBtreesBthatBwillBsurviveBtoB
maturityBoutBofB160Bsprouts?B-B3.43
(R-QuizB6)BTheBCentralBLimitBTheoremBstates:
WhenBdrawingBatBrandomB(AnswerB1)BfromBanB(AnswerB2)BtheB(AnswerB3)BforBtheB(
AnswerB4)BwillBfollowBtheBnormalBcurve,BevenBifBtheBcontentsBofBtheBboxBdoBnot.BT
heBnumberBofBdrawsBmustBbeBreasonablyBlarge.B-BAnswerB1:BwithBreplacement
AnswerB2:Bbox
AnswerB3:BprobabilityBhistogram
AnswerB4:Bsum
, (R-
QuizB6)BABprobabilityBhistogramBisBaBrepresentationBofB(AnswerB1)B.BAnBempiricalBhis
togramBisBaBhistogramBofB(AnswerB2)B.B-
BAnswerB1:AllBpossibleBoutcomesBofBaBchanceBprocess
AnswerB2:data
(R-
QuizB6)BTheBfollowingBgraphBrepresentsBtheBprobabilityBhistogramBforBtheBnumberBof
BheadsBinB100BtossesBofBaBcoin.B-
BTheBexpectedBvalueBforBtheBnumberBofBheadsBisB50BandBtheBstandardBerrorBisB5B.
(R-
QuizB6)BAnBexpressionBweBcanBuseBtoBmakeBreferenceBtoBprobabilityBhistogramBis:B-
BSamplingBdistribution
(R-
QuizB6)TheBstandardBdeviationBofBtheBsampleBmeansB(draws)BisBsmallerBthanBtheBsta
ndardBdeviationBinBtheBpopulationB(box).B-BTrue
(R-
QuizB7)BSupposeBweBgoBtoBthatBplantBstoreBagainBandBbuyBaBbag,BthisBoneBcontaini
ngB10,000Bseeds.BWeBwantBtoBknowBtheBpercentageBofBseedsBinBtheBbag,BsoBweBta
keBoutB100BseedsBandBplantBthem.BWeBcountBtheBnumberBofBblueBflowersBandBuseB
thatBasBourBguessBforBtheBpercentageBofBblueBseedsBinBtheBbag.
TheB10,000BseedsBisBourBpopulationB,BandBtheB100BseedsBisBourBsampleB.BTheBprop
ortionBofBblueBflowerBseedsBinBtheBbagBisBourBparameterB,BandBtheBproportionBofBb
lueBflowerBseedsBinBtheB100BthatBweBtookBoutBisBourBestimateB.B-
BAnswerB1:population
AnswerB2:sample
AnswerB3:parameter
