Tsu-2011 - ieeetsu

( XY , ) (0.5q.); cov(5 X, 4Y 7) (0.25q.);Dcov(3 X 2 Y, Y)
(0.25q.);D D(4X 2 Y)
(0.25q.);
( 3X 4, X)
(0.25q.); damoukidebelia Tu ara X daY ?(0.5q.). sul 5 qula
Y \ X -2 -1 1
-3 0.17 ? 0.15
1 0.23 0.1 0.05
4. dawereT eqsponencialuri ganawilebis simkvrive, Tu EX 0.5. 0.5 qula
4
5. mocemulia X -is ganawilebis funqcia FX ( x) 0, Tu x 2; ax , Tu 2
x < 4; =1,
Tu x > 4 . ipoveT ganawilebis simkvrive da a (1.5q.); EX (0.5q.); DX (0.5q.);
PX ( [2,3)) (0.5q.). sul 3 qula
2
( x5)
6. f ( x) e
18
/ 18
.ras udris EX (0.25q.), DX (0.25q.), PX ( 4) (0.25q.),
PX ( 0) (0.25q.). sul 1 qula
k k 10k
7. P( X k) C10(0.2) (0.8) ), k 0,1,...10 . ras udris EX (0.25q.), DX (0.25q.),
PX ( 4) (0.25q.), PX ( [3,5)) (0.25q.). sul 1 qula.
8. mocemulia SerCeva: -1, 2, 7, 9, 3, -7, 5, 9, 8, -9. ipoveT populaciis saSualos
Caunacvlebeli Sefaseba. (0.5q.) gamoTvaleT eqscesis koeficienti. (0.5q.)
sul 1 qula.
9. normaluri populaciidan aRebulia SerCeva: 18, 12, 22, 15, 30, 16, 39, 38, 35.
2
64. avagoT 0.99 saimedoobis ndobis intervali ucnobi saSualosaTvis (normaluri
ganawilebis 0.995-kvantilia 2.58).
2 qula
10. normaluri populaciidan Na ( ,25) aRebulia SerCeva: 10, 12, -15, 6, 18, -9, 14, -20,
16. 0.03 mniSvnelovnebis doniT SevamowmoT H0 : a 5 hipoTeza H1 : a 7 -is
winaaRmdeg ( x0.97 1.89 ). 2 qula
yoveli Teoriuli kiTxva fasdeba 2 quliT:
11. ras ewodeba gadanacvleba, wyoba, jufTeba. dawereT maTi gamosaTvleli formulebi.
12. vTqvaT 1, 2,
,
n
aris mocemuli elementarul xdomilebaTa sivrce
da aris am sivrceze gansazRvruli albaToba. ra ZiriTad Tvisebebs akmayofilebs
albaToba?
13. dawereT ori xdomilebis damoukideblobis gansazRvreba. Tu ori A da B
xdomilebisaTvis A B, (
A)
1/
4 da ( B ) 1/
2 , daasabuTeT damoukidebelia
Tu ara A da B xdomileba.
14. ras ewodeba ualbaTesi ricxvi. dawereT ualbaTesi ricxvis gamosaTvleli
formula.
15. SemTxveviTi sididis ganawilebis funqcia da misi Tvisebebi.
16. diskretuli SemTxveviTi sididis magaliTebi: bernulis, binomuri da
puasonis ganawilebebi. maTi maTematikuri molodini da dispersia.
17. arakorelirebuli SemTxveviTi sidideebi. kavSiri SemTxveviT sidideTa
arakorelirebulobasa da damoukideblobas Soris.
18. SerCeviTi saSualos maTematikuri molodini da dispersia. SerCeviTi
dispersiis maTematikuri molodini.
19. SefasebaTa agebis meTodi _ momentTa meTodi.
20. intervaluri Sefaseba _ ndobis intervali bernulis sqemaSi warmatebis
ucnobi albaTobisaTvis.
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