Tsu-2011 - ieeetsu

3 1 3 3 1 3
(0.6 0.6 ) (0.3 0.3 ) 0.136 ;
8 3 8 3
0.2
3 2 3 1 3 0.2
g). P{| | 0.2} P{ 0.2 0.2} (1 x ) dx ( x x )|
0.2
0.2
8 8 3
3 1 3 3 1 3
(0.2 0.2 ) [ 0.2 ( 0.3) ] 0.152 .
8 3 8 3
magaliTi 3. savaWro centris gamyidvelTa wliuri xelfasi , gazomili
1000 larebSi, modelirdeba albaTuri ganawilebis simkvriviT:
7/2
cx , Tu x 16;
f
() x 0,
sxvagan.
ipoveT: a). c -s mniSvneloba; b). albaToba imisa, rom SemTxveviT SerCeuli
gamyidvelis wliuri xelfasi moTavsebulia 20 000 larsa da 30 000 lars
Soris.
7/2 2 5/2 2 5/2
c
amoxsna. a). 1 f
( x) dx cx dx cx |
16 ( 0) ( c16 ) ,
16
5 5 2560
saidanac c 2560 ;
30
7/2 2 5/2 30
b).
P{20 30} 2560 x dx 2560 ( ) x |
20
20
5
2 5/2 2 5/2
2560 ( ) 30 2560 ( ) 20 0.365 .
5 5
magaliTi 4. 100 000 litrebSi gazomili benzinis yovelkvireuli gayidvebi
aRiwereba ori A da B modeliT. A modelis mixedviT:
2 x, Tu 0 x1;
f
() x
0, sxvagan,
xolo B modelis Tanaxmad:
3 2
12 x (1 x ), Tu 0 x 1;
f
() x 0,
sxvagan.
a). ipoveT pirveli modelis mediana M
A
; b). aCveneT, rom meore
modelsac igive mediana aqvs, MB MA.
amoxsna. a). ganmartebis Tanaxmad:
MA
MA
2
1
x MA
2
f
( x) dx 2xdx 2 |
0
( M
A)
2 .
2
amitom MA
1/ 2 ;
b). analogiurad:
MB
MB
1
3 2 4 6 MB
f
( x) dx 12 x (1 x ) dx (3x 2 x ) |
0
2
0
0
4 6 4 2
B B B B
3 ( M ) 2 ( M ) ( M ) [3 2 ( M ) ] .
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