Актуарная математика

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

• s(x) kamaymaydigan funksiya

• s(x) o'smaydigan funksiya

• s(0)=1; s(οο)=0

• s(0)=0; s(οο)=1

l_x ni umr davomiyligi funksiyasi orqali ifodalang

• l_x=s(x)/l₀

• l_x=s(x)

• l_x=l₀*s(x)

• l_x=l₀+s(x)

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

• d_x=l_x+l_x+1

• d_x=l_xl_x+1

• d_x=l_x+1-l_x

• d_x=l_x-l_x+1

l_x ni 1 yilda vafot etganlar soni d_x orqali ifodalang

• l_x=d_x+d_x+1+d_x+2+...+d_w

• l_x=d_x-d_x+1-d_x+2-...-d_w

• l_x=d_x+d_w

• l_x=d_w-d_x

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

• l_x-l_x+1

• d_x/l_x

• d_x

• s(x)

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

• l_x+1/l_x

• d_x/l_x

• l_x/l_x+1

• s(x)/l₀

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

• l₆₅-l₁₈

• l₁₈/l₆₅

• l₁₈-l₆₅

• l₆₅/l₁₈

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

• l₄₀-l₄₅

• (l₄₀-l₄₅)/l₃₀

• (l₄₅-l₄₀)/l₃₀

• l₅/l₃₀

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

• l₄₀/l₃₀

• (l₄₀-l₄₅)/l₃₀

• (l₄₀-l₄₀)/l₃₀

• 1-l₅/l₃₀

l_x orqali 40 yoshli insonni 60 yoshga yetmasligi ehtimolligini aniqlang

• l₆₀/l₄₀

• (l₆₀-l₄₀)/l₄₀

• (l₄₀-l₆₀)/l₄₀

• l₂₀/l₄₀