1. Let Fo(t) = 1 (1 - t/105)¹/5 for 0 ≤ t ≤ 105. Calculatea. the probability that a newborn life dies before age 60,b. the probability that a life aged 30 survives to at least age 70,c. the probability that a life aged 20 dies between ages 90 and 100,d. the force of mortality at age 50,e. the median future lifetime at age 50,f. the complete expectation of life at age 50,g. the curtate expectation of life at age 50.

As per the guidelines I have solved three sub parts.

Answered: 1. Let F。(t) = 1 − (1 – t/105)¹/5 for 0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Let F。(t) = 1 − (1 – t/105)¹/5 for 0 ≤ t ≤ 105. Calculate a. the probability that a newborn life dies before age 60, b. the probability that a life aged 30 survives to at least age 70, c. the probability that a life aged 20 dies between ages 90 and 100,