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Консультация № 88093
22.05.2007, 16:55
0.00 руб.
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2
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Приветики всем!))) У меня опять жуткий трабл с вышкой!((
на этот раз хулигана всего 2!)) давайте их быстро порешаем!)
1. На склад поступило 400 коробок с хрустальными вазами. Вероятность того, что в наугад взятой коробке все вазы целы, равна 0.9. Какова вероятность того, что вазы целы в 350 коробках.
2. При передаче сообщения вероятность искажения одного знака равна 0.10. Какова вероятность того, что в сообщении из восьми знаков будет искажено не более двух знаков?
Заранее спасибочки, целую!)
на этот раз хулигана всего 2!)) давайте их быстро порешаем!)
1. На склад поступило 400 коробок с хрустальными вазами. Вероятность того, что в наугад взятой коробке все вазы целы, равна 0.9. Какова вероятность того, что вазы целы в 350 коробках.
2. При передаче сообщения вероятность искажения одного знака равна 0.10. Какова вероятность того, что в сообщении из восьми знаков будет искажено не более двух знаков?
Заранее спасибочки, целую!)
Обсуждение
Неизвестный
22.05.2007, 18:19
общий
это ответ
Здравствуйте, Анастасия Пятибратова!
1) n=400, p =0,9, q=0,1, k=350, npq=36, x={k-np}/sqrt(npq)={350-360}/6=-5/3,
phi(-5/3)=0,0989. P(A)=(1/6)*0,0989=0,0165
1) n=400, p =0,9, q=0,1, k=350, npq=36, x={k-np}/sqrt(npq)={350-360}/6=-5/3,
phi(-5/3)=0,0989. P(A)=(1/6)*0,0989=0,0165
Неизвестный
22.05.2007, 23:48
общий
это ответ
Здравствуйте, Анастасия Пятибратова!
1. Я условие задачи понял так: какова вероятность того, что в 350 коробках вазы целы, а в остальных 50 - не целы.
Тогда P(A)=C<sub>400</sub><sup>350</sup>*(0.9)<sup>350</sup>*(0.1)<sup>50</sup>.
Если же понять так что в наугад взятых 350 коробках вазы целы, тогда P(A)=(0.9)<sup>350</sup>.
2. Вероятность, что не будет искажено ни одного знака = (0.9)<sup>8</sup>.
Вероятность, что будет искажено 1 знак = C<sub>8</sub><sup>1</sup>*(0.9)<sup>7</sup>*(0.1).
Вероятность, что будет искажено 2 знака = C<sub>8</sub><sup>2</sup>*(0.9)<sup>6</sup>*(0.1)<sup>2</sup>.
Искомая вероятность равна сумме этих вероятностей:
P(A)=(0.9)<sup>8</sup>+C<sub>8</sub><sup>1</sup>*(0.9)<sup>7</sup>*(0.1)+C<sub>8</sub><sup>2</sup>*(0.9)<sup>6</sup>*(0.1)<sup>2</sup>
Также советую почитать <a href=http://rusfaq.ru/info/question/87586>вопрос № 87586</a>.
Удачи!
1. Я условие задачи понял так: какова вероятность того, что в 350 коробках вазы целы, а в остальных 50 - не целы.
Тогда P(A)=C<sub>400</sub><sup>350</sup>*(0.9)<sup>350</sup>*(0.1)<sup>50</sup>.
Если же понять так что в наугад взятых 350 коробках вазы целы, тогда P(A)=(0.9)<sup>350</sup>.
2. Вероятность, что не будет искажено ни одного знака = (0.9)<sup>8</sup>.
Вероятность, что будет искажено 1 знак = C<sub>8</sub><sup>1</sup>*(0.9)<sup>7</sup>*(0.1).
Вероятность, что будет искажено 2 знака = C<sub>8</sub><sup>2</sup>*(0.9)<sup>6</sup>*(0.1)<sup>2</sup>.
Искомая вероятность равна сумме этих вероятностей:
P(A)=(0.9)<sup>8</sup>+C<sub>8</sub><sup>1</sup>*(0.9)<sup>7</sup>*(0.1)+C<sub>8</sub><sup>2</sup>*(0.9)<sup>6</sup>*(0.1)<sup>2</sup>
Также советую почитать <a href=http://rusfaq.ru/info/question/87586>вопрос № 87586</a>.
Удачи!
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