Laboratoriya ishi №2 Mavzu: Bernulli, Puasson formulalari, Muavr-Laplasning lokal va integral teoremalari Laboratoriya ishining maqsadi

variantning yechilishi:


2.1-masala. 11 ta erkli sinovning har birida A hodisaning ro‘y berish ehtimoli ga teng. A hodisaning rosa k marta ro‘y berish ehtimollarining barchasini sonni toping. Eng entimolli sonni toping.

Berilgan: , ,

Topish kerak:

► a) .

Bernulli formulalarining (1) va (2) sidan foydalanamiz:

va

;

;

Topilgan qiymatlarni jadvalga yozib boramiz:

Agar hisoblashlar to’g’ri bo’lsa, bo’lishi kerak.

b) Jadvaldan foydalanib, ehtimolliklar grafigini chizamiz:

v) Eng entimolli sonni topamiz:

Demak, .

Buni grafikdan ham ko’rish mumkin, ya’ni 11 ta sinovdan rosa 3 tasida A hodisaning ro’y berish ehtimoli katta ekan. ◄

2.2-masala. 700 ta erkli sinovning har birida A hodisaning ro‘y berish ehtimoli 0,35 ga teng . A hodisa uchun quyidagilarni toping:

a) rosa 270 marta ro‘y berish ehtimolini;

b) 270 martadan kam, 230 martadan ko’p ro‘y berish ehtimolini;

v) 270 martadan ko’p ro‘y berish ehtimolini toping.