
Explanation:
The probability that a man aged 30 will live to age 33 is calculated as the ratio of the survival probability at age 33 to the survival probability at age 30:
Note: To be able to interpret this in terms of probabilities, it may be helpful to consider this as the probability of a man living to age 33 given that they have already survived/lived to age 30 (a conditional probability).
Q-4891 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 |
What is the probability that a man aged 30 will live to age 33?
A
0.9454
B
0.9971
C
0.0255
D
0.0029
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