Laboratoriya ishi № 2
Mavzu: Bernulli, Puasson formulalari, Muavr-Laplasning lokal va integral teoremalari.
Laboratoriya mashgʻulotida bajariladigan vazifalari:
2.1-masala. n ta erkli sinovning har birida A hosianing ro’y berish ehtimoli p. A hodisaning n ta tajribada:
1. Roppa-rosa k1 marta ro’y berishi ehtimolini toping: Pn(X=k1)-?
2. Kamida k1 ko’pi bilan k2 marta ro’y berish ehtimoli topilsin.
3. Ko’pi bilan k3 marta ro’y berish ehtimoli topilsin.
4. Kamida k4 marta ro’y berish ehtimoli topilsin.
5. Hech bo’lmaganda bir marta ro’y berish ehtimoli topilsin.
6. A hodisaning eng ehtimolli ro’y berishlar soni aniqlansin.
N, p, k1, k2, k3, k4 parametrlarni quyidagi formulalardan aniqlang:
V = 15;
P = 0,3 + 15/100 = 0,45
N = 10, K1 = 5, K2 = 8, K3 = 7, K4 = 6
Yechish:
1. P10 (x=5) =
2. P10(5<=x<=8) = P10(x=5) + P10(x=6) + P10(x=7) + P10(x=8) =0.234+0.109+0.052+0.0097=0.4047
3. P10(0<=x<=7) = P10(x=0) + P10(x=1) + P10(x=2) + P10(x=3)+ P10(x=4) + P10(x=5) + P10(x=6) + P10(x=7) = 0.006+0.04+0.122+0.215+0.253+0.234+0.109+0.052+0.0097=
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