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Name Homework - Life Table Basics Life table 1 below is a DYNAMIC life table. Th

ID: 148718 • Letter: N

Question

Name Homework - Life Table Basics Life table 1 below is a DYNAMIC life table. That means we start with a cohort of newborns and follow them from birth to death, so N decreases monotonically from birth to death and you can directly calculate the number of individuals in any year from the number before or after if you know the vital rates. Fill in the blanks in the life tables below. 1. Age (X) N s, m, b, b E, V 100 0.75 0.25 1.0 0 0 15 3 1.0 6.53 0.751.566 2.67 3.8 0.5 3 1.5 2 0.1 1 0.1 50 0.3 0.66 0.34 0.66 2.67 100 0 1.0

Explanation / Answer

nx = n(x+1)/sx = 10/0.66 = 15

Sx = n(x+1)/nx = 50/75 = 0.66

mx = 1 - Sx = 1-0.3 = 0.7

lx = nx /n0 = 15/100 = 0.15

lxbx = 3 ; bx = 3/0.75 = 4

lxbx = 0.15*2 = 3

Lx = nx+n(x+1)/2

Age(X) N Sx mx lx bx lxbx Lx Ex Vx 0 100 0.75 0.25 1.0 0 0 87.5 1.5 1 75 0.66 0.34 0.75 4 3 62.5 1.0 6.53 2 50 0.3 0.7 0.5 3 1.5 32.5 1 3.8 3 15 0.66 0.34 0.15 2 0.3 12.5 0.66 2.67 4 10 0 1 0.1 1 0.1 5 0 1.0 5 0