8-§. Normal taqsimot qonuni
Agar X-tasodifiy miqdor normal taqsimlangan bo`lib, uning matematik kutilishi «a» va o`tracha kvadratik chetlanishi « » berilgan bo`lsa:
1) X-tasodifiy miqdorning differensial funksiyasini;
2) X-tasodifiy miqdorning berilgan (α, β) oraliqdagi qiymatni qabul qilish ehtimolini;
3) (x-a) ning absolyut qiymati berilgan « » sonidan kichik bo`lish ehtimolini toping.
|
a
|
|
|
|
|
1
|
2
|
5
|
4
|
9
|
4
|
2
|
3
|
2
|
3
|
10
|
4
|
3
|
13
|
2
|
11
|
16
|
5
|
4
|
17
|
4
|
15
|
27
|
8
|
5
|
18
|
5
|
16
|
28
|
10
|
6
|
15
|
5
|
13
|
25
|
10
|
7
|
7
|
4
|
3
|
10
|
2
|
8
|
4
|
5
|
2
|
11
|
3
|
9
|
14
|
4
|
12
|
24
|
8
|
10
|
6
|
3
|
2
|
11
|
3
|
11
|
13
|
2
|
11
|
16
|
4
|
12
|
7
|
2
|
3
|
10
|
4
|
13
|
12
|
4
|
10
|
22
|
8
|
14
|
8
|
1
|
4
|
9
|
5
|
15
|
11
|
5
|
9
|
21
|
10
|
16
|
9
|
5
|
5
|
14
|
7
|
17
|
10
|
4
|
8
|
10
|
8
|
18
|
6
|
3
|
2
|
12
|
6
|
19
|
6
|
9
|
3
|
12
|
18
|
20
|
23
|
5
|
20
|
30
|
10
|
21
|
24
|
6
|
21
|
30
|
9
|
22
|
25
|
7
|
18
|
39
|
14
|
23
|
13
|
2
|
11
|
16
|
4
|
24
|
10
|
2
|
4
|
15
|
5
|
25
|
19
|
2
|
17
|
29
|
9
|
26
|
2
|
6
|
4
|
9
|
6
|
27
|
12
|
4
|
7
|
18
|
5
|
28
|
9
|
6
|
5
|
14
|
3
|
29
|
10
|
4
|
2
|
13
|
4
|
30
|
8
|
5
|
3
|
15
|
10
|
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