上海某大学概率统计习题

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4920.J¹x,yº~N¹஻1,஻2#b»,b»,0º>ᑣ¹x,yºḄ¼½¾¿▣1,x,Á()*+|,Â|஺21.JdefgX,Y()*+#,o¹xº=3,o¹yº=5,ᑣDQX-Áº=஺22.Jdefgx~N¹-3,iº,y~N¹2,Iº,,xy()*+#Z=X-2Y+7,ᑣZ~஺23.Jdefg¹X,yºḄᭆ᳛1cxy0(X)=1.44,ᑣ6⚗ᑖbQiᦪn-,p=o25.Jxy()*+Ḅdefg#,xᙠ0,2ÅhPᙳᒴᑖb#yhPiᦪ12Ḅᢣᦪᑖb#ᑣE¹XYº=,D(X-2Y)=

5026.ᢗ;஻=ÈL#ᑣDEḄÉᦪÊËḄᦪÌÍÎ஺27.JdefgxhP᪗ÐF᝱ᑖb#y=x2"¹஻1F᦮ᦪº#ᑣxyḄ(ᐵÒᦪPXY---------------------°28.Jdefgxy()*+#,ᡂxº=E¹yº=o,£>¹xº=zº¹yº=i,ᑣE[X+ᔉ]=஺29.Jdefgx~N3#crÚº,y~N஻2,O1,,xy()*+#ᑣVIV¹iºx+y~,¹2º-------஺230.JdefgXY()*+#X~N3#b",y~N¹஻2#cr»º#ᑣ|X-y|Ḅᭆ᳛jᦪ஺31.JdefgxÁ()*+#ᐸᭆ᳛ᑖ01[2x05fx¹xº=]ßàJy¹yº={n[0ᐸ0y<5¡UEXY=o

5132.JdefgX1,X2#X3()*+#ᐸQX1hP0,6ÅḄᙳᒴᑖb#X?hPF᝱ᑖbN(0,4),X3hPiᦪ1ä=3Ḅåæᑖb#çy=X1-ax2+3X?,¡”£(/)=>஺(Á)=033.JdefgxḄᦪÌÍν¾ᑖ01஻ᑣᵫ᜿éêëìíq#ᨵP{|x-//|>3cr}<034.JX1,X2#X“ᩭð®¯XḄ±g1nḄ²ᓫde᪵µ#E(X)=ju,D(X)=8,X=-YX,.>ᑣᵫ᜿éêëìíq_ᑮn,=1P{|X-//|<4)>o35.JòNWóQôADEḄᭆ᳛1p,E*+õö[\஻NWó#÷⊤øôADEḄNᦪ#ᑭᵨQû᩽▲þᳮPFa

52£Xj-஻2᪵ᙳᑣ————SX‘-G2f=l______________2-----------------------y38.x~N3b2),!/"#ᓰ,*2,…x“ᩭxḄ஻Ḅ᪵&᪵ᙳᙳ஻Ḅ'()1-aḄ'(*+X-A-^,Xᑣ/l=_________________oஹyjnyin)39.x1,X2,…x”ᩭ᝱ᑘ஻,.)Ḅ஻Ḅ᪵ᐸ01ᦪ஻3/ᙳ4#567X,,ᑣ89Ꮇ஻஺<஻=஻஺ᡠᵨḄ@A஻,=1,BᑖDᵫ)»40.X1,X2,…X”ᩭ᝱N(஻,Cf2)Ḅ஻Ḅ᪵ᐸ01ᦪ஻3/ᙳ4#5HIX,89Ꮇ”0"

5341.XYZx~N(Hb<),y~%(b2ᔬ),!xeySfgh,!ᙳ4#஺ᵫxḄ᪵ᝤ,j2,…,x”,ᵫyᑮḄ᪵ᓃ,ᡭ…,o,89Ꮇ“°<°?=/r"1<4N,T⌱w89STḄ@A஺⌱x⚪1.0<஻04)<1,0<஻(8)<1,.(418)+/?(~1)=1,ᑣ()ভAe8fS(8)Ae8fSLh(C)Ae8fgh(஺)Ae8Sfgh2.SfghḄXYZX3VḄᑖ£>(X)=43£>()=2,ᑣXYZ3X-2YḄ()(A)8(5)16(C)28(஺)443.Ae8SḄ!ᭆ᳛0,ᑣᑡ0Ḅ()(A)eS(5)ᜩe8S(C)P(AB)=P(A)P(B)(D).(A—B)=P(A)

544.LXYZE(xy)=E(x)E(y),ᑣ)(A)D(XY)=D(X)D(Y)(B)D(X+Y)=D(X)+D(Y)(OxeySfgh(D)xeySfgh5.Ae8,!8uA,O

55(A)0(5)0.3(C)0.8(£>)18.Ae8f§!.(A)>0,P(6)ு0,ᑣḄ()(A)P(8IA)ு0(8)P(AI8)=P(A)(C)P(AIB)=0(஺)P(AB)=P(A)P(B)9.Ae8XY!ᨵP(C148)=1,ᑣḄ()(A)P(C)P(A)+P(8)-1(C)P(C)=P(AB)(O)P(C)=P(AU8)

56ª⚪«¬®¯1.P(AB)p+q-r,P(AB)=r-q,P(8)=r-p,P(AB)=1-r3..´A)=r,P(AI8)=

57I3o4♦পফব¹unN+1mN3-------x---------------1--------x-------------n+mN+M+ln+mN+M+l6.A=஻ᦈ»Y¼½᡾஻¿X,)(ÀÁᐭᦈ»YḄÃÄ஺M᪵Å+0.5},L(Q)=52,L(g)=4.52,P(A)=4.52/52=0.81x7.4=஻®⌕ÉÊÅËṹᜮ”஺¿ᵬஹÏ®ÐÑᑁᑮÓṹᜮḄÃÄᑖx,y,M//2,4={஺஺,£>஺,஺8Ý᪀ᡂàáâ},M᪵Å+l-x-y,x+l-x-y>y,y+1-x-y>x},L(g)=I2/8P(A)=L(g)/L(Q)=l/311.Cj=”/äåæç0èY஻J=1(ᵬ)2(Ï)3(é)rA,=஻ាᨵiäç0"i=l,2,3;6="èYì”஺3P(B)=ZP(4)P(8IA,)=0.3232,P(A1B)=0.288x0.6/0.3232=0.53472i=012.A="iíîæ0èY஻i=l,2,…,9rA="èYïæ0஻,

58.(4)=0.6,P(A)=1—(1—0.6)9=0.9997,1-0.4n>0.99,n>5.03ᦑñòTᨵ6íîóÃåæIÝᨵ99%bḄôõæ0èY஺13.⚪ö஻=1/365Ḅ4745÷Öøùú9ᙠü=ý=13Ḅþᣚ
ᵨᑖᙢᡂ஺(1)P(A)=0.0027,P(B)=0.99914.ᵫ⚪
4
ᡂḄᭆ᳛!Cp2(l-p)2+C!p3(l-p)+C!p4,⚪ᙠ2
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:;<=ᦑ?Ḅᭆ᳛<@A2/3B
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:pW2/3B
2CD◅F஺15.P(AUBUC)=0.62516.ᵬJKᜩ஻
8="NJKᜩA8
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6025.(1)ᵫAAb8cd
=AB,P(AB)=P(B)=-Á2(2)ᵫAAuB,Ïm8Ó=8—A,P(X8)=P(8-A)=P(8)-¥(A)=—Á6(3)ÕAB,MBcd
P(X8)=P(8)-P(A6)=-826.3ᳫ×ᐭ4ÙÉh
Åᐳᨵ43Û×Ü
ᦑ᪵ᡠÍÝÞßÅᦪ43,8,(=1,2,3)="ÙÉhᦪᨬᜧái”,ᡠfC!x(3!)cÁc!cÁ941P(81)=3Ï24)3441627.”å12ᳫhyæ2஻ᒹÍG!ÝÞß
4=“å12ᳫhyæ2ᙳèᳫ஻
B=”å12ᳫhyæ2ᐸh_8èḄ
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஻A”ᵬᔆḄ஻A2=஻ᔆḄ஻)A.3="ᔆḄ஻ᑣ4,4*3᪀ᡂᜓ!"ᵫᐰᭆ᳛'(:P(8)=0.8231.04=஻123┑5ᵬ678Ḅ஻42="123┑5678Ḅ஻

6143="123┑5678Ḅ஻ᑣ4,4,A,᪀ᡂᜓ!"081123┑
9஻"ᵫ:;<'(=p(4?)=||,P(A|B)=1,P(B)=3232.08="3CDᨵ19஻ᑣᨵ_c3P(B)=1-P(B)=122G«0.2735Goo33.04=஻ᦪLMNO஻"B=஻ᱥᳮMNO஻"c=஻ᓄLMNO஻ᑣᨵP(Au8UC)=0.16,P(AUBU0=0.84,ᐰNOXᦪ
84X34.04="YḄZ5ᵫ[ᘤᵬ]^Ḅ஻42="YḄZ5ᵫ[ᘤ]^Ḅ஻,ᑣA"4᪀ᡂᜓ!,08="YḄZ59஻,ᑣᨵP(5)=0.04,P(S)=0.96,ᵫ:;<'(=F(A|B)=-2635.0A=஻YḄb5c᪥eḄ஻"8=஻fg☰஻"ᑣᨵ:;<'(P(A|B)=—14936.04=஻j1klmng10o஻"42="j1klmng9o஻ᵫp(4)=0.7,Y)=0.3,4=4,8,="j3klmng10oḄᨵi9”,ᑣ:(8,)=஺s(0.7)'(0.3"=0,1,2,3,{“j3kngoᦪMwp29஻}={“j3kng29o஻}U{“j3kng30o஻},ᑣᨵP(B2Uy)=F(S)+P(B)=0.7842337.P(A?)=0.238.({)=0.639.0A,=஻|i9ᡭẚ஻"A="ᡭẚ஻"ᔜ9

62ᡭẚ5Ḅ"ᨵ=P(A)=l-(l-p)340.1-(1-0.4)”>0.95=>0.05>0.6"n஻25.91;.஻=6>0.96n஻236.993735/.”=37+C=_1342.P(A)43.0A,="ᘤgᨵiᐗ஻(i=0,l,2,3),8="ᘤk8ᦑ஻ᯠ"A=,i=0,l,2,3᪀ᡂᜓ!"ᵫᐰᭆ᳛'(=F(B)=0.072844.0A,="ᢗᙌὅ5|iX஻(i=1,2,3),8=”ᢗ49ᙌᝅg29”P(B)=0.3709,P(A,|fi)=0.262,P(A\B)=0.368,()=0.370"¡Ḅ2ឋᨬᜧ஺45.0X="⌲M¦§¨©219©Y79஻"8="|229¨©Y29஻46.ª=P(A)=P(8),P(A)=p2(A)+LnP(A)=Lp(B)="

63|¬1.0®2¯°±²ᵨḄ´µ0ᜓᦪ
¶[·¸X,:IX~B(5,0.1)஺p5(1)P{X=2)=0.0729,(2)P{X>3}=0.0086,(3)P{X<3}=0.99952.XḄᑖ¾¿
X0123'45p0.58370.33940.07020.00640.00030.0000P{X<3)=0.99970x<00.3024.F(+OO)=1,(200)=0=A=,"B=-!■"{21,(-00100}=e-15«0.22,(2)-0.015xx>153.50-OO10x<0x202

64c\2x00284XJ-ফ11./-92712.(1)y=2X+iḄᑖ¾¿
Y-113571^15d1246nn(2)Y=(x-1Ḅᑖ¾¿
Y014J_p63213.y=sinXḄᭆ᳛ÛÜ
1.1"14.(1)6(y)=]<”e,(2)6(y)=Þ2y>0[0ᐸÔ0y<015.¶[·¸à=3áḄᭆ᳛ÛÜ

65N/2>0ফâã=äã0y<0.,Ji517./y(y)="2j%(y-1)0y0fï/rïyã=13oy<013-yc\20.öᕜḄ◤⌕¸Ḅᭆ᳛ÛÜ
=/(y)=>>°0y<015~zr\ûᕜḄ◤⌕¸Ḅᭆ᳛ÛÜ
=/(z)=ý/ez>00z<0103}=0.8414,c=523.P{X=6=þ¬'■-l,2,3,4,5,6

6624.px=%}=(s)5«=1,2,….25.(1)ÿᦪc6;(2)P{0\26.ᙠ30ᑁ1!ᖔ#$ᨵ&ᑮḄᭆ᳛0.604027.+,ᦪḄᑖ-.P{X=k}=pqk],(k=1,2,3,•••),^=^~P28.ᵫ⚪567xḄ89:;<0,1,2=>?@Aᑖ7BḄᭆ᳛ᑖCC"P{X=k}=a=0,1,2)cP29.5E="+,30ᡭHI᪗Ḅᦪ”7ᵫ⚪567X~5(30,0.8),MNᡭHI᪗OḄᭆ᳛2}=1-P{X=0}-P{X=l}=l-24.2x(0.2)2930.5E="ᑮQR,HI᪗Sᡠᵨ+,ᦪ஻7ᑣᵫ⚪X6P{X=k}=pqk-'(k=1,2,=p\q=0.2,p=0.8)ᡠYᭆ᳛P{X45}=0.99968QA31.C=2,P{0.5

670.99934.5A=Ao|P{X=A0}ᨬᜧ7ᑣᨵP{X=A஺}>\=>kk>np+p-i0P{X=k}Qᑣᨵ.(஻+l)p-1Wk()4(”+l)p■Rᙢ7(஻+l)p᦮ᦪ|%o=(஻+l)pᡈ[(n+l)p-1](஻+l)p᦮ᦪ|%o=1(஻+1)/35.XḄ89:;<1,2,3,…ᙠRᢗH72s6Ḅᭆ᳛@Aᑖ7P{X=k}=pqk-\k=36.5E=”100{|ᑁᦑ¡ᦪ”7X~5(100,0.001)P{X<2)=0.999849637.ᵫᭆ᳛¢£ᦪḄឋ¥67A=-,P{-0.5138.ᵫᑖᦪḄ§¨©ឋ7ᨵlimF(x)=1=Asin—=AXT—-242«|ᡈ}¬39.ᵫyX~N(160,b2)®.p{i20)-1N0.8a°⊤².³21.28,b431.25a40.ᵫ⚪X67X~y(2,402),P{|x|<30}=0>(0.7)+0>(0.8)-1

680.75804+0.78814-1=0.546185´=”µ¶·¸¹º»;s?¼30Ḅᦪ஻77~5(3,0.54618)P{r>1}=1-P{Y=0}=0.906534543.(l)A=1j?=-,(2)P{--445.ÀÁᶍ46.P{[x|<40}=0.64,54(i=l,2,3)="Qi⚩ÄÅÆᙠÇÈOÉ40ÊᑁA="ÇÈËẚÍ”7ᑣᨵP(4)=0.64,i=1,2,3,A=4U4u4P(A)=0.953i(»-y)247.p/y)=Hsy<10y>\

69Q·Ï1.iÐÑ=i(i=1,2,3),=j(j=l,2,3)np=P{X=X|,Y=%}=0ltP12=P{X=x),y=}=0{x=i}u{´=2ix=i}=—x—=—,ÒdÓᙢ8²ᐸB

70yi=i]_10612%=22666=31]_12602.ᑭᵨὶᔠᭆ᳛¢£Ḅឋ¥8²A=1,P{X+Y>2}=JJ/(x,y)dxdy=/dy[xydx=~x+y>2-V243.ÚÛÜÝÞ¶ßX,yàḄᑖ-X01233310880380084.পA=6,(2)F{O0,y>00ᐸB\_0212Tx>0,01,y>2

712136.c^—,P{X>Y}^—4202
1-x00,uð{ñ=0.36790ᐸᓃ13.ᑭᵨᑖᦪYᭆ᳛¢£/zßz=[M஺:fl[0ᐹᓃ■W14.Gßx=
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l-e^«0.51715.ÀÁ.ßᶍàz3-10z2+100zj0

72z01}=0.9028®13122-xy+——xy02(2)3u(x,y)=W21—y+-yx>1,00,y>20ᐸB821/o\rr\2xH—x-yd—0)=j330ᐸB0ᐸB(4)xêysëìíî1-y0

73/{Z=/}=7{X+y=%}=ZP{X=j,y=ýRi}=XþX=i}P{y=k-i}/=0/=0=(2,+A)k=0,1,2-)2(J)!K.ᡠÓ7z=x+´=>ÿᦪ
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740z<027.)ব7H0l28.A=20,F(x,y)=--(arctan—+—)(arctan—+—)■ᐔ25242P{Y>43X}=^29.+20

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P(X=k)=pq:k=0,1,2,…,XḄᦪÒàáE(X)=VPE(X2)="Pé0êD(X)=?P'P126.f(x)=-==-=e2*஺5,x-TV(1,0.5),AE(X)=1,D(X)=0.5\]27.AE(X)=^E(X-C)2=E[(X—஻)0(C0=E(X-//)2+(C-_=O(X)+(C—஻)2,(C-஻)2ுo,.£(X-C)2>D(X).0iîïdÔ5î28.íx,(z=l,2,--JO)ᵫ⚪A:'1iîïᨵÔ5î'(9\50(Qஹ5010=஺ñ=ᕜxóX=lñd[j,32…O),XRE(X)=10÷0÷]29.E(Vx2+y2)=ᎷGE[(ylx2+Y2)2]=2a2,D(y/x2+Y2)=(2-1)(r230..ᵫMx,ú»¼ûᦪ
1Ḅᑖᨵ

79E(X,.)=l,D(X,.)=l,(«=l,2,--,100)üᵫýᑖU)᩽▲ÉᳮD100100ZX,T00P{ZXj<120}=P{^--------<2}«0)(2)=0.9972/=!1°31.ᵨ᩽▲ᳮ:E(X)=np=90000x1=30000,D(X)=npQ—p)=20000P{2950020.5}«1-জ(3.5356)=1-0.99977=0.0002333.*XG'+iIJK஻7ᵫ⚪*NE(XJ=10,Xj~£(\),ᓽᓃḄᭆ᳛1TUVW(x)=X,10^>0,/=1,2,.-.,1000,P{X,.<10}=l-e-'0x<0*Y="1000Iᵯ^_10`ᑁbᦑdIᦪ஻7f1|y~B(1000,l-e-1)10`ᑁbᦑd^_Iᦪkl600IḄᭆ᳛VP{y<600}Xজ(2.106)=1—0.98257=0.01743ab二-3--2-。6C34.opឋrstu---+-5-3432Q〃4C4---5--»-4=03.35.*X="v6wxᦪ஻7ᑣᵫ⚪*NḄyḄz{V0,1,2,3,|}

80{X=0},?~lx6wាᨵ1xᳫ7ᨵ4!74ᳫᙢᑮ4x6w7ᐳᨵ44x7ᡠD7P{X=0}=4!/44=—o64|}{x=l},?~l1x6wᳫ71x6wᐭ2xᳫ7᜜2x6wᔜᐭ1xᳫ7ᨵx3!)7ᡠDP{X=1}=7ᳮ7P{X=2}=—,6464P{X=3}=17..E(X)=1,E(X2)=^,D(X)=^64646464_36.*x,="+i⚩wḄᦪ஻7ᑣ1791P{X'=%}f=1,2;k=1,23,4,5,6),X=X“£(X)=G7E(X2)$62635-1/)(%)=—,P{Y=k}=(k=1,2,34,5,6)1236E(y)=®,E(y2)=Z21,D(y)=a1.97363636237.E(7X2+r2)=-V^4238.E(X)=—,E(y)=6,E(xy)=4339.D(X+y)=85,D(X-y)=37D40.£(y)=a+bE(X),D(y)=b?D(X),Cov(X,Y)=bD(X),p=&XY41,E(X)=142.E(X+Y)2=24a_.a2-b2S4X44.E(X)=2.5,E(Y)=3.25,E(X2)=7.5,£)(X)=1.25,E(Y2)=48°”)=M?Cov(x")k¬=45.*X1⊤®|}A+°±²³´µ¶Ḅ·Ὴ°ᦪ7X2⊤®|}A

81ᙠ+°±²ºᑮ+»°±²³ᡠµ¶Ḅ·¼°ᦪ஺¾ᙢ7*X,⊤®|}Aᙠ+i-1°±²ºᑮ+i°±²³ᡠµ¶Ḅ·¼°ᦪ(/=1,2,•••,//),ᑣ|}A±²஻°³´µ¶Ḅ·¼°ᦪVxX,.,P{Xj=஻?}=q"ip(i=l,2,=1,2,…)/=1ᐸ4=10,£Ä)=,,£5)=ÅPP46.ᢥÇÈᑮÉḄÊËᑖÍᔜÎXÏÐṹ1,2,…,஻7*X⊤®ÒÓ´ÔÕÖ×ḄÎḄÐṹ7Ø⊤®ÒÓ⌕ÚÔÕḄÎḄÐṹ7ᑣᵫ⚪*ᨵp{x=i}=Lpy=j}=Lpx=i,y=_/}=»,&/=1,2,-,”)nnrr*Z⊤®ÒÓÞḄßà7f||Z=\i-j\a,E(Z)=(஻1"3n47.X,áâÇãᦪV4Ḅᢣᦪᑖå7ᡠD7X,ḄᑖåæᦪV5çèᓽé…4)ᯅ5ë-&ì1-6Wí4x>0137/max%=,7îmaxìXð…7Xsíò0x<0602

82+óôn_1.*(X],X2,…,X“)VõXḄ᪵÷,«,=£(%)=——=X0+1ஹXe^-^=i-x2.ùE(X),O(X)úûõXḄüxýNãᦪ,*(X”X2,…,X,)Võþ=£(%)XḄ᪵÷஺ᵫl.a=£(X2)=D(X)+[£(X)]22A_A]஻_ᡠE(x)=£o(x)=-£(Xj-•)2n,=iL(b)=<`°"…X"-bb=max{x,x,"-,x}3.yl2n0ᐸ4.(X”X2,…,X")XḄ᪵",a=3X5.(X],X2,…,X")XḄ᪵"#ᦪaḄ᩽ᜧ'ᯠ)*+(1)*+234aI+—,InX,1=176.5,%2,…%”)XḄ᪵"8ᑣ6In,-=]7.2=[lyInX--Inc]-1஻/=18.ᶍ9.ᶍ10.ᶍ11.b=2.4,£(X)=1.2,D(X)=0.4112.஺=a

8313."=32.16,32=3.39x107,3.95x1014.X”X2,…,X”ᩭFXḄG+஻Ḅ᪵"XX,.,஻,=iᵫIJX)=/l,E(X)=KKᡠ/IḄ1)*+ix=Ly,LḄ1)*84=ᐗ==Xi஻,=|n,=115,ᐗ=997.1,32=15574.29,1300}=1-0(2.43)=1-0.99245=0.0075516.#ᦪpḄ0—1ᑖOP{X=x}=pYl—p)J\(x=0,l)'ᯠPᦪL=p%l-p)i)ᵫQRS᩽ᜧ'ᯠ)*8Tp=x17.E(X)=^',X=-YX,E(X)=Xiᡠ1)*+1)*8ᓝTᐗ1(X-஻)218.XḄᭆ᳛XYPᦪ2/(x)=7^e2y27ron—£([\஻)2'ᯠPᦪL=(2R2)2«2஺"᩽ᜧ'ᯠ)*8a2=—V(x,-//)2஻/=119.XḄᑖO_P{X=x}=CKp"(l-p)E'ᯠPᦪL=(fjCT)P`(1-P)oJ=I᩽ᜧ'ᯠ)*8dn20.E(X)=e,E(X)=K,1)*+n+iy2n0-——-=-Y’'ᯠPᦪL=0~(XjX…τ2

84᩽ᜧ'ᯠ)*8—b£lnx,c21=1᩽ᜧ'ᯠ)*+——bElnX,c2/=121.deᡝ2ᨵᦔ22.ᩩj᩽k8l⚪TF”᜛opST᝕r,=22kK+kKnmin3323.EbXc="LEbXc=5ᡠ1)*+ᵪ=2x-1224.X1+X2~Nb0,2c,XK+XT+XK~72b3c{c=A|}~.ᑖOFᵫY2325.X+X~W(0,2),X,-X~2V(O,2)}22~=P{F(1,2)>C}=O.1O=C=8.5326.ᜫ\ឋR=1,2ᩭCov(X-X,X-X)=--,D(X-X)=^-(72,T.p=-——ijinnn-127.*ST=0.14125,sK=7.84x10-6,=0.1392,sj=5.29x1஺-'x஻A=4%=5,

85Ḅ᩽ᜧ'ᯠ)*জ(ᓃ©஻')(T2X-7V(52,1.O52),P{5O.80.3}=2(1-জ(0.42))=0.674431.5[x±Zoox-^]=[5-0.196,5+0.196]=[4.804,5.196]2s'J"20.025~L9632.a=0.05,¯025(15)=27.488,°±Q5)=6.262(n-1)525[³ᓣ…]233.=0.05,Zoa=1.65,5[x-x±xt2~2=[-0.63,3.43]

86¶·¸1.H:஻=஻O=15;H]:4=15Ia=0.05,=z=1.96Q00252j=14.9,|^^|=1.096<1.96=z.,ᡠ¼½ᎷᓽRÀÁ0025©ÂÃÄḄÅjÆ+ᙳ8È152.É2ÊËÌÍḄÎ᝱ᙳ8Ð◅l⚪H0:஻=72;//]T஻72;a=0.05,^(஻—1)=Z(9)=2.26OO252x=67.4,s2=5.932,,==2.45ு2.26=%025(9)S/y/nᡠÓÔᎷÕÖ×ὅᾭÚÛÎÜÝᨵÞ℉Ëà஺3.áâãᔆâãåæç¢4/x4/ᙳÌÍ᪵"G+஻=12"oT஻25;1:jU<5,a=0.05,t(«-1)=t(11)=1.7959a0051=0.0731/=è\᜛=-3.4591<-1.7951=-Z(ll)005s/

87ᡠÓÔᎷÀâãéᙳåæêI5ëìí4.ç="îᵬðñṑḨ|஻ô=T“îrðñṑḨ|஻X~N(஻|,b),y~N(//,(T2),n,=10,n=10,a=0.05.÷ÌÍ22

88”0\஻2=0;H:஻]\஻2+n-2)=Z(18)=2.10l20025x=2.33,sK=4.009,y=0.75,s\=3.206,sj=1.89872=2.33>2.10=Oss(18)ᡠÓÔᎷÀÉøùúḨîᨵÞ℉Ëà஺5.(1)H=(y1-,H:cr^=0.01,F(n-1,n-1)=F(9,9)=6.54oxax2000552F{n—1,n—1)=1/F(n—1,n—1)=1/6.54,F=—y-=4.87a]2a2}zI——c2212v—<4,87<6.54,ᡠ¼½Ꮇ஺6.54(2)H:஻]\஻2=°PH]:஻[-஻2©0K஺=001,ᓃ(û+n-2)=r(18)=2.8784Q20005ᡠ¼½ᎷüýᡠþÉøùḄÄ+ÿ℉஺6.“0:஻0.5%;஻]:஻<0.5%;a=0.05,%(஻1)=405(9)=L833,cr?,0.452%—0.5%=-4.10<-1.833=-?(9)0050.037%/V10ᡠᎷᜓᎷ஺7.H:CT2<0.0052;//,>0.0052;a=0.05,/(஻-1)=/05=6507oZ2=("IN=15.68>15.507=(8)ao

89ᡠᎷᓽᵯ᪗℉!ᜧ஺8.#$%&'(᝱*+ᙳ-$ᔲ/0Ḅ2⚪4ᐜ%&6$ᔲ/0஺718wcr<;a=0.05,CDes729,298=2.1,2/0.975729,298=1/2.1=0.476,C=—=1.380,0.476<1.380<2.1,ᡠ,52Ꮇ஺728%:஻]=%U஻1U஻C஻2<£=0.05,fa7%+஻2-28=0.657588=2.0032M=2.22>2.003=%0257588,ᡠᎷᓽ'*+ᙳ-\/0]^_`aᵬᔆdefgᔆḄh஺9.x="ijklmnḄᜩᦪ஻q%&ḄᎷ$U"0UXt]uvᑖx

90100¶¡·ᡠ¢¤⁐Ḅ¸ᦪஹ¹º¸ᦪᑣ᝞⊤ᡠ:AA?4¸ᦪ»304822¹º¸ᦪ஻2255025¼½a=0.05,xl(k-r-X)=J(3-0-1)=¾ফ=5.9905ZO5~~-2222(30-25)(48-50)(22-25)2Àஹ=------—+------—+------—=1.44<5.99=<05Q)255025005ᡠᎷᓽ¡¢¤ªᔠ¬®⍡°a±஺ÁÂÃÄÅ⚪2.p=0.5

913.P{X=21X21}=<4.ÇÈÉÊẚḄᭆ᳛$1-(3)4»0.683645.P(^)=0.66ÏÐÑ#'ÒÓÔḄÕᡝᡠᓰḄØᑖfÙ0.37.ᵬfgÚᳫᦪÜḄᭆ᳛Ù0.436248.ᨵÝ᪷Ḅᭆ᳛$:9.ᵯß`ßḄᭆ᳛$P1(“2+P3-P2P3)1O.P{X=3}=1/8,C{X=1}=3/8lLPg}=Ḅ(ᦇ=12•)0x<00y<\ὡ(y)=12/3ll[1y>314.…1ê)x<0x>Q15./I=-,B=-,P{IXI0--17./x(x)=

9221.o72X-ò8=1722.Z~N70,5823.c=4,C{xõ—}=2424.n-6,p-0.4I425.EXY=-,£ö7%-2y8=-26.E7X8=3.5஻27.Àò=஺28.£[7X+y82]=229.X+Y~N7஻|+஻2bU+CT<8,22x+òᐭ“஻i+%%ஹ-----N7-------8224O-7஻]-஻2ý30.zÿ=ߟ/2☢+0,ᐸ0+ᡂ31-41ᶍ⌱⚪1.⌱0,2..⌱஺3⌱0,4.⌱,5.⌱A,6.⌱C7.⌱0,8.⌱C,9.⌱য