10) , A 70 200 , 0,3.
: n = 200.
A: m = 70.
A: p = 0,3, q = 1 p = 0,7.
npq = 200∙0,3∙0,7 = 42.
npq > 20, -:
( 1) :
:
:
11) A 200 0,3. , A 70 .
: n = 200.
A: p = 0,3, q = 1 p = 0,7.
npq = 200∙0,3∙0,7 = 42.
npq > 20, -:
,
, A 70 , , A [0; 70], m 1 = 0, m 2 = 70.
( 2) :
:
12) 300 A 0,01. , A 1 .
: n = 300.
A : p = 0,01.
λ = np = 300∙0,01 = 3 10, :
, A 1 , m = 1:
MS Excel, =Exp(3) Enter.
:
13) 100 . 5 ; 4 1 .
) X .
) , .
) .
) X .
:
0; 1; 4; 5.
5 :
.
:
X | ||||
p | 0,8 | 0,11 | 0,05 | 0,04 |
) .
) F (x).
: F (x) = P (X < x).
1) x = 0, F (x):
|
|
F (0) = P (X < 0),
, , , P (X < 0) = 0 F (0) = 0.
, (∞; 0] :
x ≤ 0: F (x) = 0.
2) x = 1, F (x):
F (1) = P (X < 1),
, 1, .. :
F (1) = P (X < 1) = P (X = 0) = 0,8.
, (0; 1] :
0 < x ≤ 1: F (x) = 0,8.
3) x = 4, F (x):
F (4) = P (X < 4),
, 4, 1 ..:
F (4) = P (X < 4) = P (X = 0) + P (X = 1) = 0,8 + 0,11 = 0,91.
, (1; 4] :
1 < x ≤ 4: F (x) = 0,91.
4) x = 5, F (x):
F (5) = P (X < 5),
, 5, 1 .. 4 ..:
F (5) = P (X < 5) = P (X = 0) + P (X = 1) + P (X = 4) =
= 0,8 + 0,11 + 0,05 = 0,96.
, (4; 5] :
4 < x ≤ 5: F (x) = 0,96.
5) x > 5, , x = 6; F (x):
F (6) = P (X < 6),
, 6, 6 .. ( 0; 1; 4; 5), :
F (6) = 1.
, 5, (5; +∞) :
x > 5: F (x) = 1.
:
:
: