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Консультация № 177958
20.04.2010, 15:38
39.47 руб.
0
1
1
День добрый! Помогите, пожалуйста, с решением задачи по теории вероятности:
Буду рад также небольшим комментариям к решению. Спасибо большое!
Буду рад также небольшим комментариям к решению. Спасибо большое!
Обсуждение
Неизвестный
20.04.2010, 20:55
общий
это ответ
Здравствуйте, MrSpencer.
Плотность распределения f(x,y)=d2F(x,y)/(dxdy) - вторая частная смешанная производная функции распределения
f(x,y)={ ln2(2)*2-x-y, x[$8805$]0 и y[$8805$]0
0, x<0 или y<0}
[$8747$]-[$8734$]+[$8734$][$8747$]f(x,y)dxdy=1
P{a<x<b,c<y<d}=F(b, d) − F(a, d) − F(b, c) + F(a, c)
P{1<x<2,3<y<5}=(1-2-2-2-5+2-2-5)-(1-2-1-2-5+2-1-5)-(1-2-2-2-3+2-2-3)+(1-2-1-2-3+2-1-3)=1/128-1/64-1/32+1/16=3/128
P{1<x<2,3<y<5}=[$8747$]12[$8747$]35ln2(2)*2-x-ydxdy=ln(2)*[$8747$]12(2-x-5-2-x-3)dx=(2-2-5-2-2-3-2-1-5+2-1-3)=3/128
Плотность распределения f(x,y)=d2F(x,y)/(dxdy) - вторая частная смешанная производная функции распределения
f(x,y)={ ln2(2)*2-x-y, x[$8805$]0 и y[$8805$]0
0, x<0 или y<0}
[$8747$]-[$8734$]+[$8734$][$8747$]f(x,y)dxdy=1
P{a<x<b,c<y<d}=F(b, d) − F(a, d) − F(b, c) + F(a, c)
P{1<x<2,3<y<5}=(1-2-2-2-5+2-2-5)-(1-2-1-2-5+2-1-5)-(1-2-2-2-3+2-2-3)+(1-2-1-2-3+2-1-3)=1/128-1/64-1/32+1/16=3/128
P{1<x<2,3<y<5}=[$8747$]12[$8747$]35ln2(2)*2-x-ydxdy=ln(2)*[$8747$]12(2-x-5-2-x-3)dx=(2-2-5-2-2-3-2-1-5+2-1-3)=3/128
5
Спасибо!
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