Теория вероятностей. Барышева В.К - 32 стр.

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N
50
5
40
H A A
i
i A = A
1
A
2
A
3
A
4
A
5
P (A) = P (A
1
) · P (A
2
| A
1
) · P (A
3
| A
1
A
2
) · P (A
4
| A
1
A
2
A
3
) ·
· P (A
5
| A
1
A
2
A
3
A
4
) =
40
50
·
39
49
38
47
37
46
36
46
=
0.31.
n = C
5
50
, m = C
5
40
P (A) =
m
n
=
C
5
40
C
5
50
=
40 · 39 · 38 · 37 · 36
50 · 49 · 48 · 47 · 46
=
0.31.
N
0.6; 0.7; 0.8; 0.9.
H A
i
i
P (A
1
) = 0.6; P (A
1
) = 0.4;
P (A
2
) = 0.7; P (A
2
) = 0.3;
P (A
3
) = 0.8; P (A
3
) = 0.2;
P (A
4
) = 0.1; P (A
4
) = 0.9.
A = A
1
A
2
A
3
A
4
+ A
1
A
2
A
3
A
4
.
P (A) = P (A
1
A
2
A
3
A
4
+ A
1
A
2
A
3
A
4
) =
= P (A
1
A
2
A
3
A
4
) + P (A
1
A
2
A
3
A
4
) =
= P (A
1
)P (A
2
)P (A
3
)P (A
4
)+
+ P (A
1
)P (A
2
)P (A
3
)P (A
4
) =
= 0.40.30.2(0.9 + 0.1) = 0.024.
N