Репост из: UktamRakhmonov
Uchta merganning o'qni nishonga tekkizish ehtimollari mos ravishda 0.4 0.7 va 0.8 ga teng. Demak P(a)=0.4 P(b)=0.7 va P(c)=0.8 Bu merganlar baravariga o'q uzganda:
Savol:
1. Hech birining nishonga tekkiza olmaslik ehtimolini toping.
Yechim: P(d)=1-P(a)•1-P(b)•1-P(c)=0.6•0.3•0.2=0.036
2. Uchalasining ham o'qni nishonga tekkizish ehtimolini toping.
Yechim: P(f)=P(a)•P(b)•P(c)=0.4•0.7•0.8=0.224
3. Birinchi mergan nishonga tekkizib, ikkinchi va uchinchi merganlar nishonga tekkiza olmaslik ehtimolini toping.
Yechim: P(g)=P(a)•1-P(b)•1-P(c)=0.4•0.3•0.2=0.024
4. Ikkinchi merganniki tegib birinchi va uchinchi merganniki tegmaslik ehtimoli
P(h)=1-P(a)•P(b)•1-P(c)
5. Uchinchi merganniki tegib, birinchi va ikkinchi merganniki tegmaslik ehtimoli
P(j)=1-P(a)•1-P(b)•P(c)
6. Birinchi va ikkinchi merganniki tegib, uchinchi merganniki tegmaslik ehtimoli
P(k)=P(a)•P(b)•1-P(c)
7. Birinchi va uchinchi merganniki tegib, ikkinchi merganniki tegmaslik ehtimoli
P(l)=P(a)•1-P(b)•P(c)
8. Ikkinchi va uchinchi merganniki tegib, birinchi merganniki tegmaslik ehtimoli
P(z)=1-P(a)•P(b)•P(c)
9. Aniq (faqat) bittasiniki nishonga tegish ehtimoli
P(x)=P(g)+P(h)+P(j)
10. Hech bo'lmaganda ( kamida) bittasining nishonga tekkizish ehtimoli
P(v)=1-P(d)
11. Aniq (faqat) 2 tasining nishonga tekkizish ehtimoli
P(n)=P(k)+P(l)+P(z)
12. Hech bo'lmaganda ( kamida) ikkitasining nishonga tekkizish ehtimoli
P(m)=P(n)+P(f)
@UktamRakhmonov
Savol:
1. Hech birining nishonga tekkiza olmaslik ehtimolini toping.
Yechim: P(d)=1-P(a)•1-P(b)•1-P(c)=0.6•0.3•0.2=0.036
2. Uchalasining ham o'qni nishonga tekkizish ehtimolini toping.
Yechim: P(f)=P(a)•P(b)•P(c)=0.4•0.7•0.8=0.224
3. Birinchi mergan nishonga tekkizib, ikkinchi va uchinchi merganlar nishonga tekkiza olmaslik ehtimolini toping.
Yechim: P(g)=P(a)•1-P(b)•1-P(c)=0.4•0.3•0.2=0.024
4. Ikkinchi merganniki tegib birinchi va uchinchi merganniki tegmaslik ehtimoli
P(h)=1-P(a)•P(b)•1-P(c)
5. Uchinchi merganniki tegib, birinchi va ikkinchi merganniki tegmaslik ehtimoli
P(j)=1-P(a)•1-P(b)•P(c)
6. Birinchi va ikkinchi merganniki tegib, uchinchi merganniki tegmaslik ehtimoli
P(k)=P(a)•P(b)•1-P(c)
7. Birinchi va uchinchi merganniki tegib, ikkinchi merganniki tegmaslik ehtimoli
P(l)=P(a)•1-P(b)•P(c)
8. Ikkinchi va uchinchi merganniki tegib, birinchi merganniki tegmaslik ehtimoli
P(z)=1-P(a)•P(b)•P(c)
9. Aniq (faqat) bittasiniki nishonga tegish ehtimoli
P(x)=P(g)+P(h)+P(j)
10. Hech bo'lmaganda ( kamida) bittasining nishonga tekkizish ehtimoli
P(v)=1-P(d)
11. Aniq (faqat) 2 tasining nishonga tekkizish ehtimoli
P(n)=P(k)+P(l)+P(z)
12. Hech bo'lmaganda ( kamida) ikkitasining nishonga tekkizish ehtimoli
P(m)=P(n)+P(f)
@UktamRakhmonov