1: (),
2:
3: ,
:
1-:
3-:
:
1)
2)
3)
4) ,
5) . . . + = + ( ) = + ( ) , 3:
( + ) = () + ( ); () = () + ( )
:
( + ) = () + () ()
() ,
( + ) () + ()
71. , (x1,x2 .. Xm..) (.. ).
: ? ( = 0? ? () a, 0, 1, 2., m .. n p ( 1 p).
() n p, 0, 1, . n P( = m)= Cnm pmqn-m, m = 0 1 2 , n, 0<p<1, q = 1 p.
72. , . .
1) () (:B), , :
P() = 1/b-a x [a;b]
P() = 0 [,]
2) () () > 0, : P() = e ≥0
P() = 0 < 0.
73. . .
, . , ----- . F() = P(()<) . , P(()=0)=0, . , , .(, , .) , P (α ≤ () ≤ β) = P(α < () ≤ β) = P(α< () <β) = P(α ≤ ()) <β = F(β) F(α).
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74. . . . p(x) (), , () (-∞; ) -∞ , . F(x) = P(() < x) = p(x) , F(x) , p(x) = F(x). .1. p(x) ≥ 0 , . F(x) ----- . 2 () , : P (α ≤ () ≤ β) = P(α < () ≤ β) = P(α< () <β) =
75. () D() () M() = D() = 2p(x)dx. , , M(2) = 2p(x) dx.
:
1. .
2. , .. 3. : 4. **:
76. .
1. .
2. , :
3. - , :
4. : .
77. :
1. ; 2. . ; 3. ; 4. .
k- x k- x, .. a k = M x k.
k- x m k, m k = M (x - M x)k.
, - , a 1 = M x, - ,
a 2 = M x 2 = M (x - M x)2 = D x.
78. ( ) , :
: , , , . .