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Консультация № 183616
14.06.2011, 13:43
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Обсуждение
14.06.2011, 14:21
общий
это ответ
Здравствуйте, sereggg!
Обозначим через Х дискретную случайную величину - число отказавших элементов за время t.
Тогда
М(Х)=n*p
М(Х)=10*0.05=0.5
D(X)=n*p*q , где q=1-p
D(X)=10*0.05*(1-0.05)-10*0.05*0.95=0.475
Воспользуемся неравенством Чебышева
P(|X-M(X)|<e)>=1-D(X)/e2
В нашем случае:
М(Х)=0.5, D(X)=0.475, e=2
Тогда получим:
Р(|X-0.5|<2)[$8805$]1-0.475/4
Р(|X-0.5|<2)[$8805$]0.88
Обозначим через Х дискретную случайную величину - число отказавших элементов за время t.
Тогда
М(Х)=n*p
М(Х)=10*0.05=0.5
D(X)=n*p*q , где q=1-p
D(X)=10*0.05*(1-0.05)-10*0.05*0.95=0.475
Воспользуемся неравенством Чебышева
P(|X-M(X)|<e)>=1-D(X)/e2
В нашем случае:
М(Х)=0.5, D(X)=0.475, e=2
Тогда получим:
Р(|X-0.5|<2)[$8805$]1-0.475/4
Р(|X-0.5|<2)[$8805$]0.88
Об авторе:
to live is to die
to live is to die
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