Problem 8. (10 points) Show that if a lifetime r.v. T has d.f. F(t) and cumulative hazard function H(t), then E[H(X)]=F(c), where c is a constant and X=min{T,c}. Problem 8. (10 points) Show that if a lifetime r.v. T has d.f. F(t) and cumulative hazard function H(t), then E[H(X)]=F(c), where c is a constant and X=min{T,c}