Question

Fill in the blanks which are marked with a question mark in the following marked from the life table : 

x	lx	dx	qx	px	Lx	Tx
20	88230	?	?	?	?	?
21	79473					320552

Answer 1

(a) Use  d_x = l_x - l_x+1

d₂₀ = l₂₀ - l₂₁

= 88230 - 79473

= 8757

(b) `"q"_"x" = "d"_"x"/"l"_"x"`

`"q"_20 = "d"_20/"l"_20`

`= 8757/88230`

= 0.09925

(c) p_x = 1 - q_x

p₂₀ = 1 - 0.09925

= 0.90075

(d) L_x = `("l"_"x" + "l"_"x + 1")/2`

`= ("l"_20 + "l"_21)/2`

`= (88230 + 79473)/2`

= 83851.5

= 83852

(e) T_x = L_x + T_x+1

T₂₀ = L₂₀ + T₂₁

= 83852 + 3205552

= 3289404