Question 1:
Analyze the mortality of individuals after the age of 75 years.
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.
Analyze the mortality of individuals after the age of 75 years.