Tsu-2011 - ieeetsu

1
magaliTi 2. mocemulia Bi(3, ) . ipoveT E da D .
4
1 3
1 3 9
amoxsna. E np 3 . D np(1 p) 3 .
4 4
4 4 16
magaliTi 3. mocemulia Bi(10, 0.3) . ipoveT: a). E da D ; b).
P{ E E }
.
amoxsna. a). E np 100.3 3, D np(1 p) 100.3 0.7 2.1 ;
b). P{ E E } P{3 2.1 3 2.1} P{3 1.44
31.44}
P{1.55 4.44} P{ 2} P{ 3} P{ 4} P{ 4} P{ 1}
0.8497 0.1493 0.7004 0.7 .
magaliTi 4. mocemulia Bi(10, 0.3) . ipoveT: a). P{ 2} ; b). P{ 2} ;
g). P{ 2} ; d). { 2} xdomilebis albaToba, Tu cnobilia, rom { 2} .
2 2 8
amoxsna. a). P{ 2} C10
(0.2) (0.8) 0.302 ;
b). P{ 2} P{ 0} P{ 1} P{ 2} 0.6778 ;
g). P{ 2} 1 P{ 2} 10.6778 0.3222 ;
d). unda moiZebnos P{ 2| 2} . pirobiTi albaTobis ganmartebis
Tanaxmad gvaqvs:
P{( 2) ( 2}
P{ 2| 2}
P{ 2}
P{( 2) [( 0) ( 1) ( 2)]} P{ 2} 0.302
0.4456 .
P{ 2} P{ 2} 0.6778
magaliTi 5. cnobilia, rom Bi( n, p)
, E 24 da D 8. ipoveT n
da p .
amoxsna. vinaidan E[ Bi( n, p)]
np da D[ Bi( n, p)] np(1 p)
, amitom 24 np
da 8 np(1 p) 24(1 p)
. saidanac 1p
1/3 anu p 2/3. Sesabamisad,
n 24/ p 243/ 2 36 .
magaliTi 6. cnobilia, rom Bi( n,0.6)
. vipovoT cdaTa is minimaluri
raodenoba, romlisTvisac P{ 1} 0.9 .
0 0 n
n
amoxsna. P{ 1} 1 P{ 0} 1 C n
(0.6) (0.4) 1 (0.4) 0.9 . amitom
gvaqvs: (0.4) n
0.1, anu nln(0.4) ln(0.1) . aqedan, imis gaTvaliswinebiT, rom
ln(0.4)
ln(0.4) uaryofiTia, davaskvniT, rom n 2.51 . Sesabamisad, cdaTa
ln(0.1)
saZiebeli minimaluri ricxvi iqneba n 3.
magaliTi 7. qvemoT moyvanil situaciebSi miuTiTeT rodisaa puasonis
ganawileba adeqvaturi modeli:
a). im avtomobilebis ricxvi, romlebic gadakveTaven erTzolian
xids Tavisufali moZraobis dros 10 saaTidan 11 saaTamde;
am SemTxvevaSi puasonis ganawileba iqneba kargi modeli, radganac
SeiZleba CavTvaloT, rom manqanebi xids gadakveTaven erTmaneTisagan damoukideblad
da drois SemTxveviT momentebSi (moZraoba Tavisufalia),
ori manqana erTdroulad ver gadakveTs xids (xidi erTzoliania) da saS-
51