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4. Suppose the mean residual life function, mrl(t) := E(T t | T > t), of a continuous survival time T is given by

 

4. Suppose the mean residual life function, mrl(t) := E(T t | T > t), of a continuous survival time T is given by mrl(t) = t + 10 for t 0. (a) Find the mean of T. (b) Find h(t). (Hint. h(t) dt = mrl(t)+1 mrl(t) (c) Find S(t). (Hint. Solve (b), use relationship between h and S)

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a The mean residual life function mrlt is defined as ET tT t which represents the ... blur-text-image

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