. . , . 7.1, .
, ( 7.1, ). "" "" .
7.1 -
. - , F (A) F (B), , , :
F (AB) = F (A) × F (B). (7.1)
, ( ) ,
F (A^) = F (A) + F (B) - F (A) ×F (B). (7.2)
, [7].
. (.. ) ( ) . , (7.2). , F (t) +P (t)=l, :
F (A^B) =F (A) + F (B) - F (A) ×F (B) = 1 - P (A)+ 1 - P (B) - (1- P (A)) × (1- P (B)) =
= 1 - P (A) + 1 - P (B) - 1 + () + () - () - () = 1 - () × (). (7.3)
F (^) = 1 - (^), (^) = () × (). :
. (7.4)
, . (4.15) (7.4) :
, (7.5)
, , :
l= li +l2 + l3 +... + li.. (7.6)
, . .
. , (7.1):
|
|
F (AB) = F (A) × F (B) = (1- P (A))×(1- P (B)),
F (AB) = 1 - P (AB). (7.7)
P (AB) = 1 - ( 1-P(A))-(1- P (B)), , :
Pc (t)=1- ( l- P1 (t)) × (l- P2 (t))×... ×(l- Pi (t)). (7.8)
, . (, , , ..).
, , ( 7.2).
. .
7.2
, , 7.2, . 2,3. :
2,3 = 1 - (1- 2) × (1- ).
2,3,4:
2,3,4 = 4×[1-(1- 2) × (1- 3)].
2,3,4,5:
2,3,4,5 = 1 - (1- P5)×{1- 4 ×[1-(1- 2)×(1- 3)]}.
:
c = 1×6× {1 - (1- 5)×{1- 4 ×[1-(1- 2) × (1- 3)]}}.