F(х)= 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)
3. Х үзіліссіз кездейсоқ шамасының (0;1) интервалында үлестірім тығыздығы f(х)=С arctgХ, осы интервалдан тыс f(х)=0. С параметрін тап.
Нұсқа №4
1. Х дискреттік кездейсоқ шаманың үлестірім заңы берілді. Табу керек:
М(х) математикалық үмітін
Д(х) дисперсиясын
σ орташа квадраттық ауытқуын.
х
|
12
|
16
|
19
|
21
|
р
|
0,1
|
0,5
|
0,3
|
0,1
|
2. Х кездейсоқ шамасы F(х) интегралдық үлестірім функциясы арқылы берілді. Табыңдар:
f(х) дифференциалдық үлестірім тығыздығын .
( үлестірім тығыздығын )
М(х) математикалық үмітін
Д(х) дисперсиясын
F(х)=
3. Х дискреттік кездейсоқ шамасы үлестірім заңы бойынша берілген
Осы шаманың үлестірім функциясының графигін салыңдар.
Әдебиеттер: 3,6,7,12,14,18,23
Достарыңызбен бөлісу: |