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3. Suppose that h(x) is the hazard function of X, and h(x)= λ for all x....

3. Suppose that h(x) is the hazard function of X, and h(x)= λ for all x.

(a) Calculate the survival function S(x).

(b) Derive the mean life E(X) and the mean residual life E(X-x|X>x), where E(X) is a special case of mean residual life with x=0.

(c) Based on your answer in (b), do you think h(x) can be used to model human lifespan?

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