Explanation:
The probability of a man who is aged 30 dying between ages 31 and 32 means the man survives for one year but dies in the second year. This is equal to the probability that the man survives in the first year (between ages 30 and 31) multiplied by the probability that he dies in the second year (between ages 31 and 32). This is: (1 - 0.001419) × 0.001445 ≈ 0.001443
Q.1113 The following data gives the mortality experience among males in Europe in 1931.
| Age in years | Probability of death within one year | Survival probability | Life expectancy |
|---|---|---|---|
| 30 | 0.001419 | 0.97372 | 47.52 |
| 31 | 0.001445 | 0.97234 | 46.59 |
| 32 | 0.001478 | 0.97093 | 45.65 |
| 33 | 0.001519 | 0.97093 | 44.73 |
Calculate the probability of a man aged 30 dying in the second year?
A
0.001407
B
0.001443
C
0.998557
D
0.001445
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