Tsu-2011 - ieeetsu

Tu axla gavixsenebT, rom ( x)
(
x)
da visargeblebT standartuli normaluri
ganawilebis simkvrivis cxrilebiT (romlidanac ( 2.7) 0. 0104),
advilad gamoviTvliT, rom
P
100000(5800)
0.000139 .
magaliTi 2. vipovoT albaToba imisa, rom monetis 100-jer agdebisas
gerbTa mosvlis ricxvi aRmoCndeba sazRvrebSi 40-dan 60-mde.
amoxsna. visargebloT muavr-laplasis integraluri TeoremiT. Cvens
SemTxvevaSi p 0.5, пр = 100·0.5 = 50. amitom Tu 40 S n
60, maSin
Sn
50
2 2.
5
Sesabamisad, gvaqvs:
Sn
50
p40 Sn
60
p2 2 (2) ( 2) 0.9772 0.0228 0.9544.
5
magaliTi 3. magaliTi 2-is pirobebSi vipovoT albaToba imisa, rom
gerbi mova 45-jer.
k np
45 50
amoxsna. am SemTxvevaSi x 1, amitom
npq 5
1 1 1
p100(45) ( 1) (1) 0.2420 0.0484.
5 5 5
SemoviRoT ganawilebis funqciebisaTvis Semdegi aRniSvnebi:
hipergeometriuli ganawilebis funqcia –
k sk
Ct
Cn t
H( x; t, s, n)
;
s
kx
Cn
binomuri ganawilebis funqcia –
k k n k
Bi( x; p, n)
C p q
;
kx
puasonis ganawilebis funqcia –
k
( x; )
e ;
0kxk!
standartuli normaluri ganawilebis funqcia –
2
x t
1
()
x e
2
dt
2
;
xi kvadrat ganawilebis funqcia -- 2 ( xk ; ) ;
stiudentis ganawilebis funqcia -- T( x; k ) ;
fiSeris ganawilebis funqcia -- F( x; k1, k
2)
.
aRsaniSnavia, rom zemoT moyvanili ganawilebebis funqciebs Soris
adgili aqvs qvemoT moyvanil sqemaze gamosaxul zRvrul Tanafardobebs:
n
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