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

Question 1:

We are analyzing the mortality of individuals after the age of 75 years.

We assume the following:

𝑠𝑝 .

π‘₯ = 𝑃(𝑋 > π‘₯ + 𝑠|𝑋 > 75)

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

75 and variance 1.

𝑆 = π‘šπ‘Žπ‘₯(0, 𝑋 βˆ’ 75), where S is the future lifetime random

variable.