Exercise 1.Assuming survival time (T) in months follows an exponential distribution withscale parameter=0.20.

Provide solutions to 1 to 6:

1. Conditional Survival Probability: CS(t | s) = Pr (T> t+s | T> s) = S(t+s) / S(s)

• Given survived to time 6 months, what is the probability of surviving an additional 3 months?
• Given survived to time 12 months, what is the probability of surviving an additional 3 months?