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Консультация № 183550
08.06.2011, 16:28
43.78 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Процент всхожести семян равен 90%. Оценить вероятность того, что из 1000 посеянных семян взойдет
от 850 до 950 семян включительно.
Процент всхожести семян равен 90%. Оценить вероятность того, что из 1000 посеянных семян взойдет
от 850 до 950 семян включительно.
Обсуждение
Неизвестный
08.06.2011, 16:36
общий
это ответ
Здравствуйте, Марина!
по условию задачи p=90%=0.9, q=1-p=1-0.9=0.1, n=1000, np=1000[$149$]0.9=900
Т.к. n[$149$]p[$149$]q=1000[$149$]0.9[$149$]0.1=90>10, то используем интегральные формулы Лапласа. Получим:
p(850[$8804$]k[$8804$]950)=Ф((950-np)/[$8730$]npq)-Ф((850-np)/[$8730$]npq)=Ф(5.27)-Ф(-5.27)=2[$149$]Ф(5.27)=2[$149$]0.5=1
Значит, искомая вероятность равна 1.
по условию задачи p=90%=0.9, q=1-p=1-0.9=0.1, n=1000, np=1000[$149$]0.9=900
Т.к. n[$149$]p[$149$]q=1000[$149$]0.9[$149$]0.1=90>10, то используем интегральные формулы Лапласа. Получим:
p(850[$8804$]k[$8804$]950)=Ф((950-np)/[$8730$]npq)-Ф((850-np)/[$8730$]npq)=Ф(5.27)-Ф(-5.27)=2[$149$]Ф(5.27)=2[$149$]0.5=1
Значит, искомая вероятность равна 1.
Неизвестный
08.06.2011, 16:41
общий
08.06.2011, 16:42
Я думаю, что слово ОЦЕНИТЬ вероятность и найти вероятность - это разные вещи.И тут наверное надо использовать не формулу Лапласа... Задача дана в теме с задачами на нормальное распределение.
Неизвестный
08.06.2011, 16:49
общий
Марина, формулы Лапласа - приближённые, поэтому и стоит слово оценить (не точное значение, а примерное). Это классическая задача на применение этих формул
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