Теория вероятностей. Барышева В.К - 58 стр.

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f(x)
f(x) > 0,
P (a 6 x < b) = F (b) F(a) =
b
Z
a
f(x)dx;
+
Z
−∞
f(x)dx = 1;
F (x) =
x
Z
−∞
f(t)dt.
X
X 1 2 3 4 5
P 1/4 1/8 1/4 1/8 1/4
X
H p
1
+ p
2
+ p
3
+ p
4
+ p
5
= 1. N
500 40
10000 20
50000 10 100000 5
200000 1 500000
H
X x
5
= 10000, x
4
= 50000, x
3
= 100000, x
2
=
200000, x
1
= 500000, x
6
= 0.
P (x
1
= 500000) =
1
500
= 0.002; P (x
2
= 200000) =
5
500
= 0.01
P (x
3
= 100000) =
10
500
= 0.02; P (x
4
= 50000) =
20
500
= 0.04;
P (x
5
= 10000) =
40
500
= 0.08; P (x
6
= 0) =
424
500
= 0.848.