A model used in the construction of life tables is a piecewise, con- stant hazard rate model. Here the time axis is divided into k intervals, [T;-1, T;), i = 1, ..., k, with T, ith interval is a constant value, 0;; that is 0 and Te = ∞. The hazard rate on the 0 < x< T1 02 T1 sx < T2 h(x) = Ok-1 Tk-2 < x < Tk-1 x 2 Tk-1 (a) Find the survival function for this model. (b) Find the mean residual-life function. (c) Find the median residual-life function.

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