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Консультация № 186794
10.11.2012, 11:18
201.76 руб.
10.11.2012, 11:57
0
6
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Обсуждение
10.11.2012, 11:41
общий
Что подразумевается под знаком вопроса? Там должно стоять число. Иначе задача получается с параметром.
10.11.2012, 11:47
общий
это ответ
Здравствуйте, Посетитель - 386361!
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Подняв матрицу в третью степень, получим вероятности состояний через 3 дня:
Нас интересует вероятность перехода из третьего состояния в первое, то есть 0,203125 (приблизительно 20%)
4
Составим систему уравнений Колмогорова, приравняв левые части к 0 (для определения стационарного состояния):
0=-0,5*Р1+0,25*Р2-0,5*Р1+0,25*Р3=-Р1+0,25*P2+0,25*P3
0=-0,25*Р2+0,5*P1-0,25*P2+0,25*P3=0,5*P1-0,5*P2+0,25*P3
0=0,5*P1-0,25*P3-0,25*P3+0,25*P2=0,5*P1+0,25*P2-0,5*P3
Добавив условие Р1+Р2+Р3=1, получим решение-ответ:
Р1=0,2; Р2=0,4; Р3=0,4.
1
2
3
Подняв матрицу в третью степень, получим вероятности состояний через 3 дня:
Нас интересует вероятность перехода из третьего состояния в первое, то есть 0,203125 (приблизительно 20%)
4
Составим систему уравнений Колмогорова, приравняв левые части к 0 (для определения стационарного состояния):
0=-0,5*Р1+0,25*Р2-0,5*Р1+0,25*Р3=-Р1+0,25*P2+0,25*P3
0=-0,25*Р2+0,5*P1-0,25*P2+0,25*P3=0,5*P1-0,5*P2+0,25*P3
0=0,5*P1-0,25*P3-0,25*P3+0,25*P2=0,5*P1+0,25*P2-0,5*P3
Добавив условие Р1+Р2+Р3=1, получим решение-ответ:
Р1=0,2; Р2=0,4; Р3=0,4.
5
Спасибо большое!
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