Ushbu o‘quv-uslubiy materiallar qurilish ta’lim yo‘nalishlarida sirtdan
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Oliy matmatika 2 kurs
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9.22. Samolyotga qarata o’q uzilmoqda. Samolyotni urib tushirish uchun o’qlarni ikkita dvigatelga yoki uchuvchi kabinasiga tekkazish yetarli. O’qning birinchi dvigatelga tegishi ehtimoli 1
ga, ikkinchi dvigatelga tegishi ehtimoli 2
ga va kabinaga tegishi ehtimoli 3 p ga teng bo’lsa, samolyotning urib tushirilishi ehtimolini toping.
0,7, 0,9 ga teng. Hamma quroldan baravariga o’quzilganda ikkita o’qning nishonga tegishi ehtimolini toping.
8 ta a’lochi, 7 ta yaxshi o’qiydigan va 5 ta kuchsiz shug’ullanuvchi talabalardan iborat. Sinovda a’lochi faqat a’lo baho olishi, yaxshi o’qiydigan talaba a’lo yoki yaxshi baho olishi, kuchsiz shug’ullanuvchi talaba yaxshi, qoniqarli yoki qoniqarsiz baho olishi mumkin. Sinovga tasodifiy ravishda bitta talaba chaqiriladi. Bu talabaning sinovda yaxshi yoki a’lo baho olishi ehtimolini toping. 9.25. Qutida 3 ta oq va 7 ta qizil shar bor. Qutidan tavakkaliga ketma-ket qutiga qaytarilmasdan 2 ta shar olinadi.
olingan birinchi sharning oq chiqishi,
olingan ikkinchi sharning oq chiqishi,
hech bo’lmaganda bitta sharning oq chiqishi hodisalari bo’lsa,
) ( ), ( ), ( A P A P B P C B A ehtimollarni toping. 10-masala. X tasodifiy miqdor ) (x F taqsimot funksiyasi bilan berilgan.
) ( , , ), ( X X D X M x f larni toping. 10.1. . 1 , 1 , 1 3 1 ), 1 3 ( 2 1 , 3 1 , 0 ) ( x agar x agar x x agar x F
. 2 , 1 , 2 0 , cos 1 , 0 , 0 ) ( x agar x agar x x agar x F 10.3. . 4 , 1 , 4 0 , 2 , 0 , 0 ) ( x agar x agar x x agar x F 36
10.4. . 4 , 1 , 4 4 , 4 ln , 4 , 0 ) (
x agar e x agar x x agar x F 10.5. . 3 , 1 , 3 1 , 1 2 4 1 , 1 , 0 ) ( 2 x agar x agar x x x agar x F 10.6. . 6 , 1 , 6 3 , 1 3 1 , 3 , 0 ) ( x agar x agar x x agar x F 10.7. . 9 , 1 , 9 1 , 1 2 1 , 1 , 0 ) ( 3
agar x agar x x agar x F 10.8.. . 3 , 1 , 3 0 , 2 3 1 , 0 , 0 ) ( 2 x agar x agar x x x agar x F 10.9.. . 3 , 1 , 3 , 2 cos
3 2 , , 0 ) ( x agar x agar x x agar x F 37
10.10. . 2 , 1 , 2 0 , 2 sin 2 , 0 , 0 ) (
x agar x agar x x agar x F 10.11. . 2 , 1 , 2 2 ), 2 ( 4 1 , 2 , 0 ) ( x agar x agar x x agar x F 10.12. . 3 , 1 , 3 0 , 4 2 6 1 , 0 , 0 ) ( 2
agar x agar x x x agar x F 10.13. . 6 , 1 , 6 0 , sin 2 , 0 , 0 ) ( x agar x agar x x agar x F 10.14. . 5 1 , 1 , 5 1 0 , 4 5 , 0 , 0 ) ( 2
agar x agar x x x agar x F 10.15. . 0 , 1 , 0 2 , cos
, 2 , 0 ) ( x agar x agar x x agar x F 38
10.16. . 1 , 1 , 1 0 , 2 3 1 , 0 , 0 ) ( 3 x agar x agar x x x agar x F 10.17. . 2 , 1 , 2 1 , 2 1 , 1 , 0 ) ( 2 x agar x agar x x x agar x F 10.18. . 0 , 1 , 0 2 , sin 1 , 2 , 0 ) ( x agar x agar x x agar x F 10.19. . 3 , 1 , 3 1 , 6 1 , 1 , 0 ) ( 2 x agar x agar x x x agar x F 10.20. . 2 , 1 , 2 0 , 2 4 1 , 0 , 0 ) ( 3 x agar x agar x x x agar x F 10.21. . 3 , 1 , 3 1 , 2 1 , 1 , 0 ) (
agar x agar x x agar x F
. 2 , 1 , 2 0 , 8 , 0 , 0 ) ( 3 x agar x agar x x agar x F
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10.23. . , 1 , 0 , 2 3 , 0 , 0 ) ( c x agar c x agar c x c x x agar x F
. 1 , 1 , 1 0 , 1 2 3 , 0 , 0 ) ( 2 x agar x agar x x x agar x F
. 2 , 1 , 2 0 , 4 , 0 , 0 ) ( 2 x agar x agar x x agar x F
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