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Консультация № 178949
06.06.2010, 13:46
0.00 руб.
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2
1
Помогите решить задачу!
Вероятность наступления события A в каждом испытании равна 1/2.
а) Найти математическое ожидание разности числа появлений и не появлений события A в серии из n испытаний.
б) Найти приближённую формулу для математического ожидания модуля разности числа появлений и не появлений A для большого числа вычислений.
Вероятность наступления события A в каждом испытании равна 1/2.
а) Найти математическое ожидание разности числа появлений и не появлений события A в серии из n испытаний.
б) Найти приближённую формулу для математического ожидания модуля разности числа появлений и не появлений A для большого числа вычислений.
Обсуждение
10.06.2010, 21:34
общий
это ответ
Здравствуйте, Поттер Г..
а) Имеем схему Бернулли с n испытаниями и вероятностью успеха p=1/2. Математическое ожидание числа появлений равно np=n/2.
Математическое ожидание числа непоявлений равно n(1-p)=n/2. Согласно свойствам математического ожидания математическое ожидание разности равно разности ожиданий. Поэтому ответ на первый вопрос будет 0.
а) Имеем схему Бернулли с n испытаниями и вероятностью успеха p=1/2. Математическое ожидание числа появлений равно np=n/2.
Математическое ожидание числа непоявлений равно n(1-p)=n/2. Согласно свойствам математического ожидания математическое ожидание разности равно разности ожиданий. Поэтому ответ на первый вопрос будет 0.
5
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