Mathematics
Senior High
Resolved
正規分布
3行目から分からないです🙏💦
問題
確率変数Xの確率密度関数f(x)が
ƒ(x)= 24(x − 2x²) ( 0 ≤ x ≤ 1/2)で
で与えら
れるとき,Xの期待値,分散,標準偏差を求め
よ。
hukk AJM
解答
Xの期待値は,
2
E(X) = √ ² ²
= f**f6
D/V\
1
2
=
= [³x -
x · 24 (x − 2x²) dx
=24
=24
=1
||
x f(x) dx
1
1
= 24 (2/4-3/2)
1
4
2
[³ (x² – 2x³) da
1
3-4
(答)
1
2
0
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