oi
rnr
na0N
r x(c
su.{r rndNc
r0
n
Mi mon
hoc :
1001020
Dd 5,
gdm
02 trang.
Thdi
gian
; 60
dhtr
'
Kh6ng sfdrps
Ai
UCu
C6u 1: Mot
nhi' lody sar
suit linh
ki€n dien
trl vdi
tl lQ sln
phdm
.rar
deu chudn
D 80%.

eua
KCS
(Khau
kidm aa ctrft
lrrong
sdn
phdm),
rrlor
linh
kien dat ri€u chutn dugc
ch{p nhln vdi
xac
su{r 99%, mor tinh
ki€n
kh6ng d4t
tiCu
chudD bi
lo4i b6
vdi
xdc sut'r
95%.
?). T!!! d 16li!!h
lder d?t
de'r.h'rdn
sa'.t KC-s. !0,V
b). Ttm xdc
sufi KCS
kCi tuAn
dfns.
!g!2:'fudi

rho cria m6t
lo4i c6n
rrong
neo
dd lA mot bion
ng6u nhi€jnX(ddn,tiL
thdbg
vdi
him met
d6 nhtJ sau :
neu .tE
lu;41.
"\
n- L*
-dL
b).
Qtran
sdr ngau
nhiCd
4 c6n
trung,
tlnh xtc sudt
chl c6 2 coo
sdog
qua
2 thrdg.
c).
H6i trung
blnh
Dhii

quan
sdt nlSu
nhi€n
md'y con c6n
trDng ttd sau hai th6og
aung
blnh cd
22 con
sdng s6t.
(Xein
riec quan
6dt c6n
trdng Ia
doc lep nhau)
Q!g!:
Dd nghi€o
crlu
sd enh hudng
cla
phan
b6n
(X)
rtdn ning su{r
lta
(y),
4gddi ra ti6'n baDh
thl
ngbiem
tren i00
mdnh nrgng

vi
thu
dfgc
kgt
que
nhu
sau :
a), U-dc
irJdng trang
suai
iUa
trung birh
hCn mor rtrenh
ruotrg
vdi
d0 ttu cay
95%.
,
b), N6u
n6i
rlng
d
le neoh
ruong dat
neng suft
tU l50kg
ftd
rcn
D 80% tbt
c6 ddog

'
kh6ng?
Cho kdt
luan
d mr?c
y
nghla
0,05.
c).
Tim
phrtdng
trtnh
hrong
\htgng
phen
bdn
\
"tttl
Ntrng
\
sudt hla Yrke\ \
l0 t2
l4 l6
100
22
150
8 l0 3
200
14-
IJ

250
lo
DH
Srtphgm ky thugt Tp.
ECM
Khoa Khoa Egc Co
Bdn
B0 mon
Todn
(D=
{k'(4-'
(
I
'
.quan
tuydn
tinh giiia
ni;g
su{t lrta vdi
ludng phan
b6n,
(Gie
thiei Y
c6
pMn phdi
chua'd)
6hi chrl
:
B{ng
tra cdn thidt

cho
phla
sau
dd rhi.
Ngay 29 thdng
05
ndm
2004
BO MdN DUYFT,
I
Cau I. C6 h:li Id hrint. L6
ihf nhdt chdh 5 sin
phdm
loai I
vir
3 sin chdm loai U. LO
tht hai chria
6 sen
phCrn
loai I
vi
4 sin
phdm
loai II. Ldy ngtu nhien
ti]mdi 16 I san
phdm.
a) Tinh xdc
sudt
dd lI) dudc 2 sln
phdm

ciurg loai.
b) 86
2 salr
phir
(r;
lai dudc
veo
ld l, rdi ldy ngau nhien 2 sin
phem tt ld
nty.
Tini xdc
*
suri lav duoc 2 sin oh;im khdc loai.
c) Bi6r trong cdc sin
pidm
ta'y ra cO it nrrait I san
phCm
loai l. Tirlh
ric sual dd lty dr,oc siin
-
phdm
loai I crla 16II.
d) Coi ]( l;r so sin
fhlim
lcq.r
I
trong 2 sin phdm ljy ra. Tinh ki vgng
var phudnS
sai cia X.
(

t
I
-).
- -8.<
Cau
II. Krdrn F3ludi tho cua mdt sd bdng den dc nh} mdy A sin xudt
ta thu duoc barg sS li€'J
D,lI
HOC
SIJ PHAM K.t. THUAT TP. HCM
KHOA KHOA HQC CO
BAN
BO MON TOAN
_____r._____
Ghi chri: c:in b6
,)oi
rhi
khdng
giii
thich
dd thr.
Dt THr
MON: xLc suAr rH6NG Ko
Ma mon hoc: 1001020
Dd
thi
gdm
I
trang
Thdi

gian
60
phft
Khong duo,,c srr
dUng rli
lieu
56 b6ng
Biei tuiii tho b6ng den c6
phan phaii
chudn.
a)
Hay
tim
khoeng
hn ci), cia tLrdi tho trunt
binh
cia cic b6rg ddn do nhtr
mey
A san xua't
,si
da tin
1y 95q
b)
Voi
mfc
y
nghir 37o, dq a
vio
s6 fieu
da

ihu
duoc, c6 thC
ke't luan
rudi
thq trung binh cria
cdc b6n8 dbn do nhe' m6y A sen xutt le 5700
gid
hay
kl6ng?
c)
Hey
tim
khoing tin cay cira ti le bdng
din
c6 tudi
tho tren
5796
8id
voi
d6 tin cay 987
d) Vdi
muc
i
rghia 17., dlra
veo
sd lieu dA
(hu
dudc,
c6
thC kgt luan t:i l€ b6ng ddn c6 tutii

tho dndi 558C
gid
h 10qo hay khong?
MOt sd
sid
tri
cdn thi.l cia hdnt Laptace *@
=
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1.9
0 17128
0.47 t9: 0.1725i 4.473200.473810.4744i 0.4?5000,4?558
0,476154,47610
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0.485370.,+85?4
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0.,14983
0.49010
0,490361r,4906i 0,19086
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tl 16 linh ki€n
h6ng
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.
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a)
Til

16
A chgn ra 3 linh
kien. Tinh xrc
sudt duqc
thi6u nlqAfinh
kien
tdt.
b) cii s'! m6t llgrrni
ddn nna ngiu
nhi€n I li
kien ti mot
cia hang
b[n l-gglj
linh ki€n
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!e
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m4r oQ xac suar:
DAIHOC.SI'PHAM
KY THUAT TP.HCM
KHOA KHOA
HQC Cd BAN
BO MON
TOAN
Ei rHr
MON:
xic sufT
THdNG
KE A
Ma
m6n hgc:
0001020
Dd
thi sd 02 c6
02 rang
Thdi
gian
60
phrit
Kh6ng
ddgc
ding tli lieu
hoc m6i
ngiy

cria sinh
(1
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xe[o'+]
n l9'.\fr
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!
'l
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pha! phdi
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te c6ng
rring
cd
luiii tha chua d&-2
tbdng rudi
ron8
sd cdi' trDng c6
ru6j $Q
r l $5nc trd l6n.
.r.
lorg45
Cfur

3
|
I*reo s6t lddng thdi
gian
td hQc trong mot ngay
tr6n mOt
sd
sinh
vi6n'
ta-c6 kdt
.'ni: L A : L A ! f" e-
b
90r.
Cau
4 : Di6u tla
vC
benh
vi6m
phdi
ogddi ta tha'y
: trong 100
ngfi,i bi-vi6m
pldi
cO@
nSfiJi kh6ng
hit thudc ld, ffong 900 ngddi
khdng
bi vi€m
Ph6i
cd

100 ngtJdi
kh6rg
hdt
thudc
ld. l{6i bQnh
vi€m
phdi
ve viec h{t
tIu6c
16
cd fie
kh6rg?
Cho k6t luan d sF5%.
Ghi chd : Btrng
tra
can thiei
cho
phia
sau dd
thi.
m 2005
G-,
-7
I)1
Tim ktoing dn cAy
vien.
tr1lng
btnb htd.lg thdi
Sian
Ngey 9

thdng
E0 mdn
vCt
K!,)
t1
/'
r
Da,
N*
t+;
-(
TflJdng
DH Sd Pham
Ky
Thuar
Khoa Khoa hoc cd
biin
BO mon : TOiN
,
DE THIMON
)LiC
SUAT vi
THONG
K8 TOAN
-
A
Thdi
gian;
90
phft,

ngAy thi: l0/01i2003
Q!g-!
:
M6r cfa hing
bdy bdn l0 sen
phdm
cung loai t ong d6 cd
6
sin
phdm
do td I sen xuai
va
4 s6!
phdm
do rd
2 san xudt.
Ngey
h6m trddc, cr.ja hdng dA bdn dddc 1
sAn
phdm.
Ngny hdm sau c6 mot
kh6ch hdng
ddn
mua 2
sAn
phdm.
a). Gqi
X lA sd sen
phdm
do td 2 sdn xua't hong sd 2

sdn
phdm
mA ngdaii khdch mua ngay h6m
sau. tlm
phan ph6ii xrc srr,i cfia X
ir). i'ilir
xic sut't tid cho
uong 2 sdn
phdm
ma krnch
mua ngdy hom sau c6 it nhat I san
phdm
do
td
1 sdn xr,it.
C€Ul?:
M6t
loai
b6ng
dien
c6 tuiii tho
X
(
tinh
theo
d.tn vi
nrn!)
!i r!6r
ti6!!
ngiu nhi€n.6 hlln

phAx
Ph6'r
:
0
neiu x<0
arr+i+b ndu 0<x<2
vdi a.bllhlngsd
z
L ndu
x>2
a).'nm,
vi
b
b).
Vdi
a, b tim dudc,
&rh tudi rho rrung btnh
crla
loai
bdng dien trCn.
e6qj
:
O 2 thdi
didm thrng l-2002 va
thdng 6-2002, chi
cuc tieu chudr do ltJdng cbA't
ldqng da
kidm
m
hQng lddng

ghi
trCn bao
bl cfa mQt sd ld
hing
d6ng
g6i
sd'n
t4i
nhi6u
siCu rhi vA c6 kdt
qua
sau
dav:
I not ulem
a),
Hiy so
sdnh ti i6 16 hdng
ddng
g6i
s6n bi can thidu d 2 rhdi
didm tr€n vdi mBc
j
nghia cr=0,O5.
b). Hay rdc ludng
ri l€ 16
heng
d6ng
gdi
sio bi can
thiel d rhdng6-2002 vdi

d0
th
cay 95%. Ndu
.
i
6u
cdu ltdc iir'v'rig
ii€u
pirrli
dai riQ
iin c.4y 99Vo
va
d6 chinh
xdc i1./a thl
phdi
iie'm tra
Oao
r)hiCu
16 heng
?
eA!-!l
:
DO bdn
trurg binh
ti6u chudn cria mor loai
thep h l13
kg/r!m2. Sau khi cii tidn crich luy€n thdp,
nglliti
ta kid
sd sdn

ohdm
m trr
m6r sd sdn
pham
thep lamravd
hu drJdc s6 lieu
sau dev :
DO bcn
fks/mm']) r05
110 115
120 125
Sd sdn
phdrn
t5 30
25
'l
(gid
thidt
rlng dQ bdn cria th6p li
mot bidn ngau nhien
cd
phan
ph6i
chudn)
a). Hdy cho
k€i luin
vC hieu
qua
c aviecceiridnc6chluyOnrhepvdimfcynghiaCt'=0,01.
b). Hay ddc ludng

d0 bdn rung binh c0a thdp
sau c6i tidn vdi dO
tin c6y 95Va.
Chi chti :
Khong sB dung tdi he'r khi
lem
bii.
Bdng tra cin thidt cho
phia
sau d0 thi
t.lldn8
b,\ mon duy6r
i
I.lx,
=
l
t
DO
rO
nang Dl can tnleu
Thrng
l-2002
'19
JI
44
1
,'
I
i
DAI

HQC SIJ PHAM KYTHUAT
TI.HCM
KHOA KHOA HOC CCJBAN
BO MON TOAN
DE THI MON: XAC SU{T ]H.iNG
KIr, A
MA mOn hoc: 0001020
DC
thi c6 02 trang
Thdi
gian
60
phit
Khong
dirdc dtlng tii liCu
CAu
1 : Mfl tr+m ctru
hda o vitng A c6 3 xe chrra chiy,
vi
sd
cuoc
goi
cdn ddn
su
girip
d0 cia xe
chna chdy crla ram la bidn
nge0
nhien uAn theo
lual

phir ph6'i
Poisson
vdj lham
sd
ld 1,8.
Giri rhidt ring m6L \e chi dip rlng d;oc
0l
cu,ic
gor
rrong m6r
'rgr
v
a).
Quao
sit ngiu nhien m6t ngAy
tai tram, tinh
xdc sud't dd ngiy
,16
khdng c{i
xe nio
phei
dem ra drlng.
b). Tinh xdc
sutt
trong 02
ngey liin ridp rram dirng nhidu nhei 02 xe.
c). Ti
le
cdc ngiy c6 cu6c
goi

md lram ki6ng thd ddp r?Ilg duoc
U
bao nhrCu?
d). Gili srl
do lhdi ddt thay ddi
(khi
hAu n6ng telr).
ngddi ra
ghi
nhen dddc
ti le cdu
ngay cd
it nhal01 cu6c
goi
dci rram li 99./ Theo
anh
(chi),
rram
cdn rlng
bi
ii
nhil bao nhieu
xe
rhi
s€ ddp fng
dudc
yeu
ciu chrla
chdy?
CAu

2 : Dd chu6'n
bi cho trd chdi
"Chung
sfc", ngddi ra ra mO! cdD h6i
vdi
ba ddp itn
(
r).
(21. (3)
\,:r rh6i1
k6 cau trri
liti cria 100 neudi nhusau:
Ddp an (l)
K}I6ng chon dip
in nio
a) l'im khodng
udc ludng
cho
ri
ie ngLtili chon dtp dn
(I)
vdi
d6 tin c4y 997.
b) Theo
quy
dinh
ngu ti ld ngfdi
kh6ng chqn dip 6n
nio
kh6ng

qud
27. rhi kCr
qud
Ihdng ke sC dLldc
sf dung cho ho chor. Vrli mi'c
i
nghla 57,, arh
(chi)
hiy cI-,
bi6r kA
gui
ren
sf dung dddc
kh6ng'
Ctu
3
i Nghien cflr him
luong Vitamir
A
(7.,)
cia mot
hai
trri cay ta thr duilc
k&
qud
Him ld.jng
Vitamin
A I i-:
10
8

1
Gie rhi& ham
ludng Vitamir
A cia loai
ilii
crt), niy rrAn lheo luiL chue'n
HIy tim
kioang dn cay
927. cho
hAm lrrcjrg
Vitamin
A !rung
blnh
tr
Neu
mu6n
ddc ludng lrCn c6
sai sd kh,lng
qrI
0,2 7. thi cd cdn
kn6ng? Ndu
ci'n thi
ph:ii q!an
stit rhein
i{ nhA't bao
nhiSu rral?
Ghi chf :
Bing tra can
rhiil oho
phla

sau de rhi.
Ngiy
29
thdng 12
B0 m6rr
m0! lrei.
sdr lhem
56
nrudi
i
5l
Hirm lddng
Vitamin A
(7.)
4-5
5 78
5-6
12 8-q
6-1
110
i9-10
D'4'g
+e
DE IHI MUN : XAC
SUAT
VA
THONG KE TOAIq B
Thdi
gia!
lem

bai : 90
phit
Q!.q!
:
M6t c6ng
nhdn di6u kidn 6
md1'
d6!,
cdc
mdy ney boar
dong doc lap vdi nhau
vA
xdc suei bi
httcira
m6imiiy
trong cdc ca llm vi3c
le 0,1. Tinh x{c
su{idd cho rrong ca lirn- vrec I
l). C6 dnn-g
1 mey bi hu.
2). Tft ci
6 mdy
ddu
hoat
d6ng
rdt.
3). C6 it rbdt 5 mdy hoat ddng
rdr.
(-tu
If

(.h^
hiF,,
"d;,
"1,;-
Y
^,i
L'aF nlt6
r
"
- ."" '?
i
F(.)
=
]
I
t
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l
asinft:t+b,0<x
<:-
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:
KI{CB
B0 m6n |'lo.i
.i
2.
v,,, r h li .ji, hipq
(o.
jl.

iXli,
l".}"
rim
ddgc, rim hem mer do
cia x vi rinh
k! vong ro:in cri.r
X
CAu lII :
D€< nghiCn cfu rinh hinh thdc
hie! Phep l6nh hanh
nghd
y
dudc
[rnharr A mOr rhenh
phd.,
ngrldi ta
kidm ira iigi-,: ;.ji€rr
rrrir sdc(,
sri blnh nghd dddc rrong
nAm 2(-100 va
Z00l
va
c6
kdt
que
nhd
sai, :
Nem
Sd co s6 dr-roc
kidm tra

Sdcd
sd
!i
phsm
PhdD tenh
2000
200
i
1319
2029
319
3ut
t).
lt;iy so sdnh ti iC ccj sd hanh
nghd al,i,r.
.d vi nh.h
Phji ldnh rcng : nSnr 2000
.,,i
2001
v(iilniic
y
nghia
o=0,05.
2). ftay
(atc
ludng ri
le cd sd hanh nghe
dfdc c6 vi pham
phdp
lenh ftong nem 2001 vdi d6

rin cay
9576.
: .Sin
lddng trung
binh cria
giSng
l{a rruydn rhdng
rdng
tai ving
A
le
,18
ralha. Ngudi ta dra
vr\o tr:dr!{
thi didn
mOr
gidng
lua
mdi ren 100
rhfia
ru6ng cria ving
d6 ve cd kdt
qua
nhd
SAn
liJdns ftalha
Sti chr?a
ru6ng
i
thift

riog sen llJdng lia
ld mQr bidn
ngdu nhiCn
cd
phan phdi
chudn)
I(riy
so
senh sen ludng lrung
binh
cria
gidng
hia
mdi vdi gidng
lrla
rr,.rydn
rh6'ng
vdi
mrlc
I
rr-etria
cr=0,05.
I'triy
udc
irtdng
seo ludng trung
bi
c|.ia gidng
lta
mdi vdi

d6 tin cey
952o.
(tL
L).
').
a.lhi chL
i
Thi
sinh chi
drJdc mang rheo
ciic bdng
sd
vi
ndy tir,h
cdm tay.
.,
/:
I
rddne b6
rn
-)rL
q
1
o
I
n
L
t1
Nqrva"
r-1,i Nd

-
/
- -"
-di!4
JeaL
Ta c6
bing s6 li€u
t'
DI,
THI':
XAC SUAT THONG
Thdi riari: 90 nhJ
t
: kg;
ve
chidu cao
(i
: cm
)
cria
sau i
nhn
q
.Lde-lhi
rdm
rn6t ciich
trd
ldi
6 iwdng.
KE

lron! mo( 13lr
Ilrltf:lc
osl)!cnt /\llrl
villl.
Inr)l slnn
vlcn
Ufr;d](tj
MOL.i,,
h,r,
c(i
4
cac-tr
tcr't-[r.ti
(trong
dtr chi cci
dU
ng).
Kdt
qr:i tri ldi
ciic
clu h<ii
ddc
lip
vrli
nhau.
Didm
bii tbi
cdc
cAu
trd ldi dring.

blng dng
sd
l. Sin!
vien
A kbdng
thuOc biivA rd k'Ji ciicciuh6i
motcdch
ngiu
', i - d, ,|'a .,
rurrslL
r Ul|l
'
a)
Sinh
vi€n
A bi
didm lier
(
< 3
didr;
)
?
5; Sin-h
i:ir
.^. d3l dlanr
d6u
.,dr,i
=
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ln! r,g: l)0
1i!tLi|.
rl/.liIyn!l.ii,.if.qirilfrlrhjrlg111irtl,lrlr\,rilunrinC!rL)rrijrni'i tri'ici),
lir riit
!r5'1,.
irl

'llrii
|
(i
hir,)r lirilrg Vitu irirC
:
()'r,"
gri
la' urii Iui
I i.k]i '1'rr!: ii lii
I li lti/j;
ilri,;
I ,irrSl
i\l
Llc i(iiDr I l !j
=11,0:i.
a
l. 'Ltrr,i
,trLIr
\.L\clriull lrrrr
p
r rt: rl]in c r:Lir rn^l lrri tfrii clly rlro 1r(xrg lriLrg
!1li i],l
irrir loii
TRUONG
l)i\lF1OC
SU
],HAM Kt
'ft{UAT
KI{OA
: KI.iO.\ IIOC

CO
BAN
E6 I,ION,IOAN
I
I
CAu XII
!!u !:
Cd 216
h)ng : Ld 1
g6ur
l0 sin phdm
trong
d6 c6 2
phd phdm,
ld2
gdm
8
sin
phi'm
troug
d6 c6
1
phd phdm.
Tr)
mdi 16 hing.
ngddi ta i6,v ng5u nhiOn
2 sAn
phdm
cdng m6t lric dd udm
tra. TfiIx?ilu;Gd

crro ,
1).
Ci 4 sin
phdm
la'y ra
kidm
tra diiu
li sin
phdrn
tdt.
2),
Trong 4 sin
phdm
lA'y
ra kidm tra c6 dilrlg2
ph€
phdJ
-UjULU:
Didn tich
m5r chi€c 1, tbuoc m6t
loii ce), ld mor
bi6n ngau nhi6n lien
tuc X
(ti[h
dteo don vr cm2) c6
harn mat d6 :
p(t)-iot
't-'' 1c!
\-lu:'/l
rdi

K la I,irrrci.
I
rt
ri,.
\+toll
1).
Tlnr K.
?),
Vdi
K
vna
tim ddd",
I
-
Tioh di6n
tich rung bioh cira
m6i chidc li
cria io)i cay d6.
-
Tinh ri lC
16 c6 di6n rich
nh6 hdn 1 cm'?.
:
MOt xi nghicp
srin xuat m6t
loai
truc
ntry vdi chi€u
dai
qui

dirft la 19,95crn
vi ri
16 phd phdm
cho
ph6p
lA 107o-
Ti m6t 16
ruc m{y vira mdi sin
xud't
ra, ugudi
ta
kidm
ta ngiu nhi6n
100 iruc ve c6
k6i
clui
nhu sau :
Chieu
dii truc ma
(crn
19.5
oir rru vON: xAc
sudr vA
rndruc
Kt ToAll
Thdi
gianl?rrnbdi
:gilphft Ngiyliri]
/ /2002
20,5

,Sd tluc
miiy
(gii
thiCt
ring chi6u
dai cac truc mdy
ld i bidn ngdu nhi6n c6 pnAn
ph6i
chudn)
1).
HAy
so s6nir chi6u
dai rrung binh
cria cdc truc mdy ldur ra r,6i chidu dii
qui
Jrnh
tdi
nr.1.
r
lrehja,i=0.t,5
2),
Hey
d1c ldgng chidu
ddi trung binl ciia,cec
ftuc mdy vdi d6 rin
ciy
95olo.
Ndir
yeu
c)u rtdc

luong chidu
dii tluc miy vrJi <16
chinh xric 0,08cm
vd
C0
tin cay
95olo thi
ph6i
kidm tra
bao nhi6u truc miy?
3).
Hdy so sdnh ti 16
phd
phdm
cria c:{c
uuc mi{y ldm ra 1,di ti le
phd pha'm cho
ph6p
vdi
mrlc
!
nghia o=0,05.
bidt ring cllc
mc md1,
ph6'phdm
ld
ciic rruc
m6y cd
chieu dii nh6 hdn 19,5cm
hoic 1dn hdn 20,5cm.

4).
Hziy ddc lddng ti
lQ
ph6 phSm
cria cric truc
rn6y 1dm ra vdi dd rin c{y 954/o.
,-, Htu
,ii-ih
,,iri
r Thi
sird:r dLrdc
mang theo cdc
brlng sd
vi
mriy tiDh
cdrrr tay, ngoii
ra ki6ng dubc
ir,r'rng
rheo
bar k! rii
lieu nio khdc.
La lrrrdtre
\LL\ 6 r
,-'t ,.'1,-t t /'
fzr'/tvf
Nguyiin
'i
hi Ngoan
l{\
n,J

,*
:
:.
''.
it
DE 8,00,
94JL1:
C6 216
h ng: 16 I
g6m
l0 srin
phdm
uong dd
c6 2
phd
phdm
;
16 It
g6m
8 sin
phdm
uong d6 c6
1
phd pha'm
. Tn m6i 16
bing lai
rlgeu nhien
cDng tnc ra 2 sdn
phdm
dd kidm

ra.
'Ilni
xdc sud'r
dd :
1) c6 4
sin
phdm
l{y ra ddu
(it
2) Trong
4 sdn
phdm
lfy ra
,
c6 dfng 2
phdphdm.
Criz 2 :
Dien ucn
m6r chec l, rhubc
I loaLi cay le
I
bi6ir nsdu nhi6n lien ruc X ,cm:r
Co him
m5l d6:
.l.r
-
t
"l,'
-,\2 t,hi' -l^. rr.,r ^r-,
-n

rrr. lrn
,^_aalBse.
1)
T:rnh k . 2) Vdi
k tim
ddgc
,
tinh di6n licJ| rrung
binh rri:
m6i chidc !6
c,la
loii ca),
nay.
Tinh ti
16 l, c6
dien dch
nhd hdD
I
cm,.
&4.1
:
M6t xi nshiep
sdD
xuai 1 loai
ruc mdy
vdi
chi€u dai qui
dinh lA l9,95cm vn
ti
l€ nhd nha'm .h6

nhFn
l; 1oq"
Tit 1 1A 'n,. 64v n^i .,i- -!,{r
-^ r; }6
L:
*^
ngdu nhi€n
100 rruc
.
cd 16'r qud
sau :
56 rruc
mdy c6
chieu dii
xi
:
ni
I
l0
30 35
20
Gii didt
ciridu
ddi crla
truc rndy
sin xufr
ra ruan rbeo
lu6t chudn,
1) HAy
so sdnh

chidu
dii rung
binl cdc lrruc
mdy.sdn
xuii
ra
vdi
chdu
dai
qui
dinh
,
mfc i
nghia o.
=
0,05.
2)
Uilc
Udng chi6u
dei trung
binh ctc
uuc $dy
sin
xu{t ra vdi
d6
rin cav
9S7o.
Neu
y€u
ciu

rldc
ldEng c6
dO rin c6y
95% vi dO
chinh
xdc
0,08
cm
rhr ohai fidrn ou
mai
uuc miiy.
3)
Hey so
srirh d le
phd phdm
c6c ruc
mdv sen
xu{r ra vdi
ri
lC
phd
pbdm
cho
phdp
vdi
mfc
i nghia
cr
=
0,05,

biCi rlng cdc
truc
m6y ptrdphdrn
U clc
rrqc c6 chidu
dii
rh6
hdn
19,5 cm
hoec 16tr
hdn 20.5 cE,.
4)
Udc
lddng d le
cdc
uuc mdy phd phdm
vdi
dg
tn c6y
gsEo.
E[dm
Ciu I :2d
:
Clo2
3d
I
Cau 3 :
5d
Thi
sinh

kt6ng
mang rdi
li€u vlo pbdng
rhi .
J4
Di 9u.,.,,
@41
: Mdr
td
srin xutt c6
3 mO rd hoar
d6ng
ddc
iap
vdi
nha!
,
xric sua-r bi hucrla c6c
m6 td i
;2
;3
rong ca lam viec
lAn ludl
lA
: 0,1
;0,2;0,3.
Coi
X lA
s6'mO tdbi hu
trong ca lem

viec.
-
1) Lap beng
phan phdi
xric sue'r
cria X vd riln him
phan
ph6i
xdc sudt cf a X .
2) TiDh P(X>t).
!fu1!:C|.o'"i€-t-tgZ.aiii,i0uli€oiucXcdhimrnarciQxdcsuilp(x)=A(r-x)?khI'
xe
[1
;3]vnp(x)=0
d
noi khdc
;
A
_
hhng sd.
1)
Tim
A. 2) Vdi
A $m dddc. bey xic ilinh him
!'h6
n ph6'i
r{c s'rdt
c,ja
X Ya
rinh Modx

@4!:
Didu m
vd
c6ng :ec
dao uo nghd 6 I thinh ph6'cd
thdng
k6 sau
:
lao
d6ng c6
qua
dAo tao
nghd
1) Hay so
sdnh ri
te
lao d6ngc6
qua
dio rao ngh6
d nam
vi
n[ v6i
mrtc i nghia
q
=
0,05.
2) Hiy udc
ludng ti l€ lao dOng
cd
qua

dio
rao nghd c6
nam
va
ntr I rhinh
phd
ren
vdi
dd
dn cey 95%.
e44!
:
Mdt ct}a hing
bdn
I loai
san
phdm
Ia rhi rrrJdng .
Theo d6i sd
srln
phd'm
brin
ra
hang ngey
uong i sdngiy cria ndm
nay
,
c6 bring rh6ng ke
sau :
56 sin phdrn

bdn
ra
hiDg
rgay:xi
|
100 150 2nO
250 300
q6
ndiv hin v
,(n -
124
92
iri25555049
1) Nem rudc
trung
binh m6i ngay biD
dudc 225
sAn
phdm.
Cho
ring tddng hang bdn
ra nim nay
c6
chieu
hu6ng
giem
sft dUng
th6ng ?
kidm ra
vdi

mrlc kidm
dinh
q.
=
0.05.
2)
Udc iirorg
sd sdn
phdm
tung
binh bdn
m hing ngiy
,vdi
dO rin cey
957a.(gii thidl
sd lieu rhdng
kc ftan rheo
luar chudn).
Didrn
Cnu 1 i3d
;
C u2:2d,
I
Ce,n3:2.d;Cau4:3d.
Thi sinh k}6ng
mang tai iiCu veo phdng
rhi
.
,;:,
(1

0
Sd lao d6ng dudc
d.id! ka
I
S6'
DB 70.t'o
'
,oot
Q!y-!
: C6 2 hqp bi
,
hOp
't
-
chfa 5i./+ 2 bi
trong d6 c6 2i bj dd
,
(
i
=
1,2)
. Ldv
ngiu
nlueo mol ngp
r or,
a) Tim bdng
ppxs cho sdbi d6 c6
uong 2
bi
lty n

.
(2A)
b) La'y ndp I
bi
Eong
hop 1. T:lnh xrc sutt
dd duqc bi d6
(ld)
edl?
: Cho bidn
ngiu nhien len
$c
X
c6 him
mdxs
:p(x)
=
Acosx kh;
lrl
<
i
I
P(x)
=
u
Klu
ltl>;;A-nangso.
z
a)
I tm A . b) Tinh EX.

!@4-!
:
Dd
ngidin crlu d le si loai A aong
2
16 hing
1
vi
tr,
ngrrdi ta kidm
tra I miu
vi c6 bang thdng k€ sau :
Khoheng
I
Sd sf ddgc
quan
s6l
56 sfloai A c6 duqc
.a)
Udc ldgng d le sfloai A
cia Lho I
vdi
d6
dn
cey 95-q (1d).
b) Vdi mfc i nghia o
=
0,05 c6 thd coi d le sf lo?i A 6
troDg
2 16 hing

nhd nhau
dudc
kn6ng ?
(1,5d).
eiuL:
Sau
khi
dilrg ki
thuat
rodi
cho I
ving
trdng lia, theo
ddi
nAng sna't
l,ja X
{u/ha).
c6 bAng lhdng ke sau
:
Gie tbi€l ndrg sut't lfa X
-N
(a
;q?)
.
a) IJdc luqng neng sua't lia trung binh cho toaLn
vUng vdi
dO tin cey
90%.
Ndu lludn
dO

chinh xic cia udc lugng ld 50kg
va
dO tin cQy 90% cin
quan
srit i[ nha't mt'y
ha ?
b) Biei ring
nang
suit lfa trung b)nh
caa vu
trLJ6c le 5 ta'nAa. Hey so srnh
neng
suaiiot c0a vu lda nam
nay
vAr vu lria ndm tajdc vdi
mfc i nghia
q
=
0,05
.
(
ld)
ijem
Lau I tJo
;
Lau /: zo
;
uau
J:
Jo

Thi
sinh
kh6ng mang tei [Cu
vio phdng
tln .
,1,,:'

o,l
'Ar:)
NAng suar xi
(1alha)
j
DE 7It.zw
@4-l
: 1) MOt
cria hAng biy b6n 10 sf
cung
lo4i uong
dd c6 6 sf do [d I san xuat
;
4
sf
do d
tr sen xuit. Ngey
h6m tudc cria hAng biin 1
si H6m sau
,
c6
i
khrch hang

ddn
mua 2
sf.
a) Goi X li
sd sf do rd tr
san xua't me ngddi kh6ch mua
h6m sau. Tim bdng
ppxs
cia X
c) Tinh xdc
sudt dd uong 2 sf
ngudi khich mua hOm sau
,
c6 lt
oht't
1sf do
td I sen
xuAr.
GE-2
: iviii ioai
'u6ng
d;n
c6 ru6'i rhq X
(dnh
rheo nam) ia
ble'n Ds5u nhien licn
tuc .
c6 hem
ppxs
:

itiii x
!
0
khi0<x<2,(a.bhing$d)
a) Tim a
,
b . b)
Vdi a
,
b tim duqc
,
tm tudi thq rung binh loai b6ng
dien ften
q!41
: d 2 rhdi
didm rhing 01/2002
vd
th6ng 6/2002
,
chi cqc do hjdng
chdt ludng dd
kidm ra uong
lldng c6
ghi
trCn bao bj crlr
I s6 16
hino
dong
gdi sirt t:i r!:ii'.: si6u
thi

vi
c6 bdng
kdt
qui
sau :
I nol Cl1eot
Sd
16 harg dudc kidm tra sd lo hang bi can fiidu
Th4ng l/2002
Thdns 612402
a)
Hay so senh
d le c:ic 16
hlng bi can
thidu
d
2 thdi
didm
vdi mfc i nghia
(r
=
0.05
.
b) IJdc ldong ti IQ bj cin thidu d thdi didm thdng 6/2002
'/6i
dd rin cay 997,
v:i
d6
cnlnn xac tuYo . can Xlem lra ir nnar mty lo nanP .
Sg3!:

EQ b€a trung birh cia I loqi ih€p ii l i3lGr'run2. Sau iciri cii
tidn crich
iuydn
tlr6p
,
kidm
rra
I sd sdn
phdn
th6p
lim ra c6 bing thdng kc sau
:
(
Gie
thidt
dO bdn X
cia
th6p ruan
theo
luet
chudn X
(kc/mm')).
56 sf nr
79
93
15 23
30
25
'1
44

a)
Cho kdt luan ve hi€u
qud
vi6c
cdi tidn
crch luyen $6p vdi mfc i nghia
.t
=
0,01
b) tJuc iudng
d6 b€n trung binh cfia tl6p sau cai ddn
vdi d6 tin cay
957".
DidinCful :3d
;
Cau2 tzd, C u3 |2,5d
;Ceu4:2,5d.
Thi sinh th6ng mang tei leu vio
phdng
thi ,
DE
12,.,,,
Q!14!:H6p
!
chda 8
qui
cdu
trdn-e
;
2 cdu den

;
hdp 2 chLla
9
ciu trdng,
1
cdu den. TJ
hQp
2 l{y cing hic 2 cdu cho vdo
h6p 1
sau
d6 tr}
h6p I ldy ra cirng
hlc
3
qud
cdu thi
dudc
3
que
cAu
tring.
Tinh xic sudt
dd 3
qud
cdu rrdng
nAy ddu cria h6p 1.
!!i!L4
:
Cho bren ngau ohien
ben tuc X c6 hdm

ppxs
:
l,
,*,
a) Tim cdc
hlng sd A
,
B
b) Goi Y
=
sidx. Tinh
P(Y >
c)
Tlm
phfdng
sai cia Y.
@.4!
:
d i xudng oe
rOng do d6
ben
chiu
ndn
(ddn
vi
rinh : KC/(cm2)
cria m6t
sd nr5u
bC r6ng
,

c6
beng rh6'ng ke
sau :
(Giri
sf
dO bdn chiu ndn
X
-
N
(a
;
o2).
I
Dii bdn ciuu
ndD xi
(Kc/cnil
190-200 2oo-210
2to-2n 22.a-z3o
230-240
240-250
Sd miu b€ t6ng :
n;
10
26 56
64
a)
tldc ludng
dO bAn chiu
ndn rrung binh
c6c m6u

be
r6ng vdi
dO
rin cly 9S%.
b) Cdc
mau be 6ng c6
d6 bdn
chiu nda 2
200 KG/cm2
goi
li loai
1. Ndu s& dgng sd
Ieu th0'iig
k€ a€o dd u6c
iucing ri
iC cdc meu
bC rong loai
I
vdi
d6 chinh
xdc
€o
=
4%
thi dO rin
cay bing bao
nhi6u ?
c) Ngudj
ta cdi
ridn

cich sin:uii
sa'r d6 cho
san
:.ui'l
,.If
,
rdi diiu
ra
ngiu nii€n
100
m5u
vrla
s6n xud'r"
th5y c6 2&
m5u loai I vi
cho rhng
cdl ddn llm
ldng d le
bC t6ng loai
1. Cho k& luen vd
nh.an dinh
D6j ken vdi
mfc I
nghia a
=
0,05.
x(-
I .
EI
|

.l
,)
l'*
/l(^-)
iA
+Es;'l^
idn
.6,
t).
Didrn:
Ciu I :
3d
I
ciu
2: 2d
;
cau I :5d.
Thi
sinh
kh6ng
mang rili
fieu vio phdng
rhi .
^ ,
G,
-11!
.
'
9
7*;

tu
'
tr-
tr'
l{)
"t
a^r=
rua\,1a
ry'
"
?
Pliri
{
l'(
(
L1r,r)
=
of sr.
tr =
{,r?r
i
4-*

zttt"):
LBC!
o,+Ary:
o,gg
l6,tr-
o,'tsl
-'

t
t(
trg
-t
4,1(
u)
")
t
;
^,
\ ;
y
i
(-
u
-u.'
t*1'
*i"",
t;tn:
#
-
",*
'-
-
t<r-':^:
4'
{
k"