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Консультация № 137033
16.05.2008, 08:28
0.00 руб.
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Здравствуйте!! Помогите пожалуйста с задачей: В результате каждого визита страхового агента договор заключается с вероятностью 1/4. Какова вероятность того, что из 10 визитов страхового агента 5 закончатся заключением договора?
Обсуждение
16.05.2008, 09:24
общий
это ответ
Здравствуйте, Боброва Евгения Сергеевна!
Вероятность заключения договора p = 1/4,
вероятность незаключения - q = 1 - p = 3/4.
Искомую вероятность P можно посчитать по формуле биномиального распределения:
P = C^k_N*p^k*q^(N-k),
где N - число независимых испытаний, k - число благоприятных исходов.
С^k_N - число сочетаний из N по к, равное N!/k!(N-k)!.
Подставляя численные значения, находим вероятность того, что
из 10 визитов ровно 5 закончатся заключением договора:
P = С^5_10*(1/4)^5*(3/4)^5 = 0,0584
Вероятность заключения договора p = 1/4,
вероятность незаключения - q = 1 - p = 3/4.
Искомую вероятность P можно посчитать по формуле биномиального распределения:
P = C^k_N*p^k*q^(N-k),
где N - число независимых испытаний, k - число благоприятных исходов.
С^k_N - число сочетаний из N по к, равное N!/k!(N-k)!.
Подставляя численные значения, находим вероятность того, что
из 10 визитов ровно 5 закончатся заключением договора:
P = С^5_10*(1/4)^5*(3/4)^5 = 0,0584
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