Example 2.1 Let F0(t) - GitHub

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Example 2.1 Let F0(t) - GitHub

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(a) A newborn life survives beyond age 30. (b) A life aged 30 dies before age 50, and. (c) A life aged 40 survives beyon

Example 2.1 Let ( 1 − (1 − t/120)1/6 F0 (t) = 1

for 0 ≤ t ≤ 120 for t > 120

Calculate the probability that (a) A newborn life survives beyond age 30 (b) A life aged 30 dies before age 50, and (c) A life aged 40 survives beyond age 65

Solution: (a) The required probability is S0 (30) = 1 − F0 (30) = (1 − 30/120)1/6 = 0.9532 (b) The required probability is F30 (20) =

F0 (50) − F0 (30) = 0.0410 1 − F0 (30)

(c) The required probability is S40 (25) =

S0 (65) = 0.9395 S0 (40)

1