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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 |
Solution
(a) Use dx = lx - lx+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) px = 1 - qx
p20 = 1 - 0.09925
= 0.90075
(d) Lx = `("l"_"x" + "l"_"x + 1")/2`
`= ("l"_20 + "l"_21)/2`
`= (88230 + 79473)/2`
= 83851.5
= 83852
(e) Tx = Lx + Tx+1
T20 = L20 + T21
= 83852 + 3205552
= 3289404
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