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Консультация № 203296
19.10.2022, 08:42
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Средний диаметр стволов деревьев на некотором участке равен 25 см, среднее квадратическое отклонение равно 5 см. Считая диаметр ствола случайной величиной, распределенной нормально, найти процент деревьев, имеющих диаметр свыше 20 см.
Средний диаметр стволов деревьев на некотором участке равен 25 см, среднее квадратическое отклонение равно 5 см. Считая диаметр ствола случайной величиной, распределенной нормально, найти процент деревьев, имеющих диаметр свыше 20 см.
Обсуждение
19.10.2022, 10:27
общий
это ответ
Доброго...
вычисляется это через нормированную функцию Лапласа Ф (z)
по формуле
P(a < X ) = 0.5 - Ф ((а-М) \сигма )
а-граничное значение = 20
М - матожидание= Средний диаметр стволов =25
сигма = среднее квадратическое отклонение = 5
Р - вероятность деревьев, имеющих диаметр свыше 20 см.
Ф ((а-М) \сигма ) = Ф (-5\5) = Ф (-1) = -Ф (1) = -0.34 по таблице значений
отсюда Р=0.5-(-0.34)=0.84
или 84%
вычисляется это через нормированную функцию Лапласа Ф (z)
по формуле
P(a < X ) = 0.5 - Ф ((а-М) \сигма )
а-граничное значение = 20
М - матожидание= Средний диаметр стволов =25
сигма = среднее квадратическое отклонение = 5
Р - вероятность деревьев, имеющих диаметр свыше 20 см.
Ф ((а-М) \сигма ) = Ф (-5\5) = Ф (-1) = -Ф (1) = -0.34 по таблице значений
отсюда Р=0.5-(-0.34)=0.84
или 84%
Форма ответа
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