Теория вероятностей. Барышева В.К - 49 стр.

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m
1
m
2 1
2
:
x
1
=
14 20
4
=
6
4
= 1, 5; x
2
=
26 20
4
=
6
4
= 1.5.
P
100
(14 6 m 6 26) Φ(1.5) Φ(1, 5) = 2Φ(1.5) = 2 · 0.4319 =
0.86638.
N
H m
[0; 60] m [30, 60.]
n p q m
1
m
2 1 2
x
1
=
m
1
np
npq
=
30 60 · 0.6
60 · 0.6 · 0.4
=
6
14.4
= 1.581,
x
2
=
m
2
np
npq
=
60 60 · 0.6
14.4
= 6.324.
P
60
(30 6 m 6 60) = Φ(x
2
) Φ(x
1
) =
= Φ(6.324) Φ(1.581) = Φ(6.324) + Φ(1.581) =
= 0.5 + 0.44295 = 0.94295.
N
0.9. 5