概率论与数理统计第三版课后答案习题4.docx
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概率论与数理统计第三版课后答案习题4.docx
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概率论与数理统计第三版课后答案习题4
leadingcadres'awarene
ssofrightin
place,studythe
partyConstit
utionandpartyr
ules,series
ofspeeches
canmake
propereffect.Partyca
dresto"two"lead
byexample,t
oleadbyexamplew
emustchangeourmind,recogni
zingthat"two"isimportant.First,
learnt
heCommuni
stPartyConsti
tution
Partyrules,learni
nglearningseriesim
portantspeechbyGe
neralSecretaryca
nenhancet
heory.Wit
hthe"thir
drevolution"t
heriseofrapid
changesi
nourlifearefeeli
ng,theCommunists
shoul
dadheretothetheory
ofconfidencew
illconti
nuetolearnfromt
hevoicesofthetimes,t
hetimes,intur
n,wil
lhavenewre
quireme
ntsforlea
dingpartycadre
s."Two"ist
hemost
basicmeaningofmember
sallmasteringt
he
coretheorya
ndthemosta
dvanced
weaponsthe
ory,
com
plementthespiritofcal
cium.Secondly,theCommuni
stPartyConstit
utionPartyrul
es,learninglearni
ngser
iesimportantspeechby
GeneralSecretarybeabl
etofirmlybuildt
heideol
multiplevalue
s,the"two"isto
helpcultivateinde
pendentjudgme
ntinnumerousmiscellaneousmultipl
econcepts,
sothatthemajorityconsensus
ofpartymembers,theimporta
ntmagicweapon
ofthepartywit
htheresona
ncefreque
ncy.Fina
lly,theConstituti
onoftheCommunistPart
y,partyr
ules,lear
ninglear
ningseriesimportantspee
chcanstandcrowds,Ge
neralSecretary
positi
on.Now,somegrass
-root
sworkint
he"theol
dwaydidn'tw
ork,hardway
cannot,thenewa
pproachwould
not"phenomenon,sometimesduetoamassofpartymembersa
ndcadresnotundersta
nding,doesnotmeet.Infact,themass"convinci
ng"and"identity"Be
hindarelikelyto
bepartymember
sandleadi
ngcadresthemselve
signoringbeliefshel
d,resultinginla
ckofper
suasionand
senseofide
ntity.
"Two"isinfactguarantee
dpartyca
dreswork,anim
portant
prerequisiteforconvincingt
hemasses.
Baconsaiditwell
:
"practicalme
ncanha
ndleindividualmatters,butl
ookingatthewholeoperationglobally,
butonlymanca
ndotoknowle
dge.
"Givingup"two"effective,mustfirstraiseaware
nessofleadi
ngcadre
sofpartymembers,aspartymember
slearnrealre
sponsibility"toknow"to"musi
c","good"change
s,inparallelwitht
heground,do
notforgettoalsoanswerthea
ntenna,draw
catchesonmeteorol
ogy,w
hichsitbet
weenheavena
ndEarthwhichmeldstoget
herthedreamsofpra
ctici
ngCommunist.M
embers
cadres
shouldin"twolear
nado"inthebased
postdo
contributioninallmembersi
nthecarried
out"learn
Constituti
onPartyr
ules,andlear
nseriesspeech,doqualifiedme
mbers"learninge
ducation,thi
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ctice,isprom
oted"threestri
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第四章随机变量的数字特征
1.甲、乙两台自动车床,生产同一种零件,生产
1000
件产品所出的次品数分别用
,
表示,经过一段时间的考察,知
,的分布律如下:
0
1
2
3
0
1
2
p
0.7
0.1
0.1
0.1
p
0.5
0.3
0.2
试比较两台车床的优劣。
解:
因为E=00.7+10.1+20.1+30.1=0.6;
E=00.5+10.3+20.2=0.7。
故就平均来说,甲机床要优于乙机床。
2.连续型随机变量的概率密度为
kxa
0
x
1
(k,a
0)
f(x)
0
其它
又知E=0.75,求k,a之值。
f(x)dx
1,
即
kxadx
1,
a
k
1
解:
首先由密度函数性质知
1
;
xf(x)dx
0.75,
即
kxa1dx
1,
k
2
0.75
又
E=0.75,即有
a
;
由上述两式可求得
k=3,a=2。
3.已知随机变量
的分布律为
-1
0
2
3
p
1/8
1/4
3/8
1/4
求E,E(3-2),E2,E(1-)2。
解:
E
=(-1)(1/8)+0
(1/4)+2(3/8)+3(1/4)=11/8;
E
2=(-1)2
(1/8)+02(1/4)+22
(3/8)+32(1/4)=31/8;
2
2
(1/8)+(1-0)
2
2
2
E(1-)=(1-(-1))
(1/4)+(1-2)
(3/8)+(1-3)
(1/4)=17/8
或者,E(1-)2=E(1-2+
2)=1-(E2)+E2=17/8。
f(x)
1e
4.若的概率密度为
2
|x|
。
求
(1)E,
(2)E2。
E
1
xe|x|dx
中因e-|x|为偶函数,x为奇函数,故
xe-|x|为奇函数,且积分区
解:
(1)
2
间关于原点对称,该积分又绝对收敛,事实上
|x|f(x)dx
1
|x|e|x|dx
0xexdx
(2)
1
2
故E=0。
12
e
|x|
dx
2
e
x
dx(3)2!
2
(2)E
2
x
2
f(x)dx
x
0x
2
。
5.轮船横向摇摆的随机振幅
的概率密度为
f(x)Axe
0
x2
22
x0(0)
x0
求
(1)确定系数A;
(2)遇到大于其振幅均值的概率是多少?
x2
f(x)dx1,即
Axe2
2
1
dx1,
A2
解:
(1)由密度函数性质知
asedontheira
ctual,strivingto
be"learni
ng"and"done"markers.Strengtheni
ngthe
oreticalst
udy,beliefandfaith.Theoryis
anactiongui
de,onlythe
oretical
knowledgei
nplace,t
ounity,actioncanconsci
ously.Constitutionist
hefundamental
lawofthe
party,partyrule
sarepartym
ustfollow
theGe
neralrule
s.Studyinga
ndimplementi
ngthe
partyConstituti
onPartyrules
andaserie
sofimportantspeech,GeneralSe
cretary,
isagui
detopersi
stinganddeveloping
socialismwithChinesecharacteristi
cs,i
saba
sicw
orkofstre
ngthe
ningtheparty's
construction,butalsoeachandevery
CommunistPartyMember'
sobligationsandsolemnresponsi
bilit
y.Theseimportantconte
nt,forea
chparty,mustknowwould
believewilldoboth.
WeGe
neralSe
cretaryofthe
partyConstituti
on,aseriesofremarkswit
h,andhold,gra
spthereal"learni
ng"thatba
sis,
base
donthe
Constitutionspe
aktoissue,i
naccordancewitht
heseriescha
ngedtheproblem.Se
model.Isnotnor
ules.Ifthereis
noirondi
scipline
partymembers
and
cadreswillbecomeamess,itw
illloseitsfightingstre
ngthandvitality,puritya
ndnaturallymuchle
ssadvanced.
By"two"education,partymembers
and
cadrestokee
pthe"bottomline",notthemore"re
dlines",
consciouslypra
cticet
he"threeSuns"andconsci
ouslya
ctaccordingtot
heConstit
ution,partyrul
es,remainsapoliticalfor
ce,toperformpartyoat
h,atreeofits
ownimage.
Threei
stheloyal,daretoplaya
ndplaytopartymembers.Lear
ningistheFoundation,ist
hekeytodevel
opmentisthegoal."T
wo"mainobjectivei
stoletthemajorityofthe
playtotheexemplaryrole
ofpartymembersa
nd
cadres,partyConstit
ution,partyrule
stoexamine.T
ousenew
criteriatogui
deourbehavi
or.Througheducation,t
heidealandconvicti
on,kee
pinmi
ndthatmembershi
p,lear
n,lear
n,learngoplaya
vanguarda
ndexempl
aryrole,t
hecourageto
playas,a
ndalway
smaintaint
hepi
oneer,pioneering
andenterpri
sing
spirit,andconsta
ntlyimprove
ourownca
pacitya
ndlevelofservice
accordi
ngtopositi
onsandmakecontri
butions.Hearts
change,leadm
orestrict"bega
nintheknow,knowas
LukeSkywalker","two"activitie
s,bequalifiedpartymembers
bothastarti
ngpointandending
point.
Partycadresonly
opi
nions,Foundation,Constituti
onPartyrules,
seriesto
betteraddre
ssoutsideinshape,"two"thisisState,lea
dingbyexampl
e,tolea
dbyexampleto
bequalifiedpartymembersintheprocessofdoi
ngthe
deepa
nd
solid,hig
herandmorestringe
nt.Jobswith
newski
lls.Tobea
qualifie
dpartymember,mostba
sicelementisalwaysa
dvancedre
quireme
ntsthemselves,usingtheirpowertopushforwardthe
causeofthe
party,thepe
oplea
ndthenation.Istothelea
dingcadres
ofpartymembers,firstofallisba
sedonthejob,dot
hepe
opleinthe
heart.T
hereisnotasl
ogan,butaims
tobetterserv
ethe
people,targetedeffortstoi
ncrea
sethecapa
city
leadingcadres'awarene
ssofrightin
place,studythe
partyConstit
utionandpartyr
ules,series
ofspeeches
canmake
propereffect.Partyca
dresto"two"lead
byexample,t
oleadbyexamplew
emustchangeourmind,recogni
zingthat"two"isimportant.First,
learnt
heCommuni
stPartyConsti
tution
Partyrules,learni
nglearningseriesim
portantspeechbyGe
neralSecretaryca
nenhancet
heory.Withthe"thir
drevolution"t
heriseofrapid
changesi
nourlifearefeeli
ng,theCommunists
shoul
dadheretothetheory
ofconfidencew
illconti
nuetolearnfromt
hevoicesofthetimes,t
hetimes,intur
n,wil
lhavenewre
quireme
ntsforlea
dingpartycadre
s."Two"ist
hemost
basicmeaningofmember
sallmasteringt
he
coretheorya
ndthemosta
dvanced
weaponsthe
ory,
com
plementthespiritofcal
cium.Secondly,theCommuni
stPartyConstit
utionPartyrul
es,learningl
earningser
iesimportantspeechby
GeneralSecretarybeabl
etofirmlybuildt
heideol
ogicalfoundation.Undert
multiplevalue
s,the"two"isto
help
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