Bishrelt wrote:
Ene hoyor shalgagchiin iadaj ali neg n (at least one of them) buh defecttei baraanii 20%-iig n ilruulelgui unguruuh magadlaltai. tegvel doorhiig bod.
Ene oguulber neg l bishee... 90% gej garchaad baihad 20%-g aldana gedeg... Harin 100n baraanaas 20-g aldah magadlal gevel ali alind ni baij l taarna... Tiimees ene nohtsol-g orhiv.
Bishrelt wrote:
Baraa huvarilaltan deer irj bui baraanuudiig hoyor shalgagch hianaj baiv. Baraa tus buriig hoyor hianagch hianana gej bodii. Ehnii shalgagch defecttei baraanii 90 huviig ilruulj chadna. Hoyor dakh shalgagch ch gesen 90%. Ene hoyor shalgagchiin iadaj ali neg n (at least one of them) buh defecttei baraanii 20%-iig n ilruulelgui unguruuh magadlaltai. tegvel doorhiig bod.
a. zuvhun ehnii shalgagch l defecttei baraag ilruulekh magadlal. (prob that only first inspector detects)
hoyor shalgagchiin neg n l defecttei baraag ilruulekh magadlal
(exaclt one of them detects)
a. 0.10, 0.20
2 shalgagchiin huvid
p = P(ilruuleh) = 0.9 q = P(aldah) = 0.1
ba 2 shalgagch tus tusdaa ajillah tul, 2 shalgagchiin ilruuleh/aldah ni hariltsan hamaaralgui uzegdel bolno.
Medeej 0.9 bolno.
Harin 2-r shalgagch aldaad 1-r ilruuleh magadlal p*q = 0.09 bolno. Gedgees 2-r urjuulbel 0.18 bolno. (0.20 bish)
Ooroor bas ingej bodoj bolno. Niit magadlalaas "2 shalgagch 2ulaa ilruuleh ba aldah" -g hasch bolno.
1- p*p - q*q = 1 - 0.81 - 0.01 = 0.18
Bishrelt wrote:
Baraa huvarilaltan deer irj bui baraanuudiig hoyor shalgagch hianaj baiv. Baraa tus buriig hoyor hianagch hianana gej bodii. Ehnii shalgagch defecttei baraanii 90 huviig ilruulj chadna. Hoyor dakh shalgagch ch gesen 90%. Ene hoyor shalgagchiin iadaj ali neg n (at least one of them) buh defecttei baraanii 20%-iig n ilruulelgui unguruuh magadlaltai. tegvel doorhiig bod.
b. duriin songoson gurvan baraa n ali ch shalgagchaar haraand urtuugui baih magadlal. (baraa tur buriin shalgalt ilruulelt n bie biendee iamar negen hamaaralgui bol n. that is: neg defecttei baraag ilruulekhed ene n uur iamar negen baraag ilruulekhed iamar ch medeelel uguhgui buiu hamaaralgui)
b. 0
Magadlal yarij baihad 0 bolno gedeg ch dee... hehe
q * q = 0.01 bolno.
ps: Deerh toonuudiig taslalaas hoish 1 ornii nariivchlaltai bodvol deerh hariunuud garah bolno. Gevch uchir dutagdaltai gej bodnom...