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Консультация № 180536
01.11.2010, 14:01
0.00 руб.
01.11.2010, 17:30
0
1
1
Здравствуйте, уважаемые эксперты. Помогите пожалуйства с теорией вероятностей:
Обследование трех групп студентов, состоящих из Hj человек соответственно (j=1,2,3) показало возможность наличия учебной задолженности по математике с вероятностями рj. У случайно выбранного студента из группы Hj подтвердилась учебная задолженность. Найти вероятность того, что случайно выбранный студент из группы Hj (j = 1,2,3), имеет учебную задолженность по математике.
Значения параметров вычислить по следующим формулам: k = |14 – V|, где V - номер Вашего варианта; p1 = 0.99 – , p2 = 0.9 – , p3 = 0.85 – ;
H1 = 5 + k, H2 = 20 – k, H3 =25 – k
Обследование трех групп студентов, состоящих из Hj человек соответственно (j=1,2,3) показало возможность наличия учебной задолженности по математике с вероятностями рj. У случайно выбранного студента из группы Hj подтвердилась учебная задолженность. Найти вероятность того, что случайно выбранный студент из группы Hj (j = 1,2,3), имеет учебную задолженность по математике.
Значения параметров вычислить по следующим формулам: k = |14 – V|, где V - номер Вашего варианта; p1 = 0.99 – , p2 = 0.9 – , p3 = 0.85 – ;
H1 = 5 + k, H2 = 20 – k, H3 =25 – k
Обсуждение
01.11.2010, 18:29
общий
это ответ
Здравствуйте, Посетитель - 342642!
Решается по формуле полной вероятности: P(A)=P(H1)*P(A|H1)+P(H2)*P(A|H2)+P(H3)*P(A|H3)
Например, для варианта №5: Н1=10, H2=15? H3=20
P(H1)=10/(10+15+20)=2/9
P(H2)=15/(10+15+20)=1/3
P(H3)=20/(10+15+20)=4/9
P(A|H1)=p1=0,99
P(A|H2)=p2=0,9
P(A|H3)=p3=0,85
P(A)=0,898
Решается по формуле полной вероятности: P(A)=P(H1)*P(A|H1)+P(H2)*P(A|H2)+P(H3)*P(A|H3)
Например, для варианта №5: Н1=10, H2=15? H3=20
P(H1)=10/(10+15+20)=2/9
P(H2)=15/(10+15+20)=1/3
P(H3)=20/(10+15+20)=4/9
P(A|H1)=p1=0,99
P(A|H2)=p2=0,9
P(A|H3)=p3=0,85
P(A)=0,898
5
огромное вам спасибо!
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