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Актуарная математика

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

Umr davomiyligi funksiyasining xossalari to'g'ri ko'rsatilgan javoblarni belgilang

a)

s(x) kamaymaydigan funksiya

b)

s(x) o'smaydigan funksiya

c)

s(0)=1; s(οο)=0

d)

s(0)=0; s(οο)=1

2.

l_x ni umr davomiyligi funksiyasi orqali ifodalang

a)

lx=s(x)/l0

b)

lx=s(x)

c)

lx=l0*s(x)

d)

lx=l0+s(x)

3.

x va x+1 vaqt oralig'ida vafot etganlar soni qanday aniqlanadi?

a)

dx=lx+lx+1

b)

dx=lxlx+1

c)

dx=lx+1-lx

d)

dx=lx-lx+1

4.

lx ni 1 yilda vafot etganlar soni dx orqali ifodalang

a)

lx=dx+dx+1+dx+2+...+dw

b)

lx=dx-dx+1-dx+2-...-dw

c)

lx=dx+dw

d)

lx=dw-dx

5.

x va x+1 vaqt oralig'ida vafot etganlar ehtimolligi qanday aniqlanadi?

a)

lx-lx+1

b)

dx/lx

c)

dx

d)

s(x)

6.

x va x+1 vaqt oralig'ida vafot etmaganlar ehtimolligi qanday aniqlanadi?

a)

lx+1/lx

b)

dx/lx

c)

lx/lx+1

d)

s(x)/l0

7.

lx orqali 18 yosli insonni 65 yoshga qadar yashashi ehtimolligini ifodalang.

a)

l65-l18

b)

l18/l65

c)

l18-l65

d)

l65/l18

8.

lx orqali 30 yoshli insonni 40-45 yosh oralig'ida vafot etishi ehtimolligini aniqlang

a)

l40-l45

b)

(l40-l45)/l30

c)

(l45-l40)/l30

d)

l5/l30

9.

lx orqali 30 yoshli insonni 40-45 yosh oralig'ida vafot etmasligi ehtimolligini aniqlang

a)

l40/l30

b)

(l40-l45)/l30

c)

(l40-l40)/l30

d)

1-l5/l30

10.

lx orqali 40 yoshli insonni 60 yoshga yetmasligi ehtimolligini aniqlang

a)

l60/l40

b)

(l60-l40)/l40

c)

(l40-l60)/l40

d)

l20/l40