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Консультация № 181101
04.12.2010, 12:28
0.00 руб.
04.12.2010, 18:53
0
6
2
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
Решить задачу.
Всхожесть семян некоторого растения составляет 70 %. Какова вероятность того, что из 10 посеянных семян взойдут 8?
Решить задачу.
Всхожесть семян некоторого растения составляет 70 %. Какова вероятность того, что из 10 посеянных семян взойдут 8?
Обсуждение
04.12.2010, 13:33
общий
это ответ
Здравствуйте, Варвара!
Предлагаю вам свой вариант решения задачи
Используем локальную теорему Лапласа
Pn(k)=(1/√npq)* ς(x) , где x=(k-np)/√npq
n=10, p=70%=0,7; q=1-p=1-0,7=0,3; k=8
x=(8-10*0,7)/ √10*0,7*0,3=1/√2,1=0,69; ς(0,69)- находим из таблицы
P10(8)= [1/ √10*0,7*0,3]* ς(0,69)=0,69*0,3144=0,2169
Ответ : P10(8)=0,2169
Удачи вам.
Предлагаю вам свой вариант решения задачи
Используем локальную теорему Лапласа
Pn(k)=(1/√npq)* ς(x) , где x=(k-np)/√npq
n=10, p=70%=0,7; q=1-p=1-0,7=0,3; k=8
x=(8-10*0,7)/ √10*0,7*0,3=1/√2,1=0,69; ς(0,69)- находим из таблицы
P10(8)= [1/ √10*0,7*0,3]* ς(0,69)=0,69*0,3144=0,2169
Ответ : P10(8)=0,2169
Удачи вам.
04.12.2010, 17:39
общий
Тамара, локальная теорема Лапласа - это граничный случай и используется при довольно большом количестве испытаний. И правильнее было бы не ставить знак равенства, а "приблизительно равно".
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