Question 1:

Analyze the mortality of individuals after the age of 75 years.

We assume the following:

𝑠𝑝 .

𝑥 = 𝑃(𝑋 > 𝑥 + 𝑠|𝑋 > 75)

𝑋 ∼ 𝑁(75, 1) i.e. X follows a normal distribution with mean

75 and variance 1.

𝑆 = 𝑚𝑎𝑥(0, 𝑋 − 75), where S is the future lifetime random

variable.