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Question
Complete the following life table :
| x | lx | dx | qx | px |
Lx |
| 4 | 9100 | 60 | ? | ? | ? |
| 5 | ? | 45 | ? | ? |
Solution
∵ d4 = l4 - l5
∴ 60 = 9100 - l5
∴ l5 = 9040
`q_4 = d_4/l_4`
= `60/9100 = 0.0066`
`q_5 = d_5/l_5`
= `45/9040 = 0.0050`
`p_4 = 1 - q_4`
= `1 - 0.0066 = 0.9934`
`p_5 = 1 - q_5`
= `1 - 0.0050 = 0.9950`
`L_4 = (l_4 + l_5)/2`
= `(9100 + 9040)/2`
= 9070
Hence required table is
| x | lx | dx | qx | px |
Lx |
| 4 | 9100 | 60 | 0.0066 | 0.9934 | 9070 |
| 5 | 9070 | 45 | 0.0050 | 0.9950 |
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