Question: Which is larger: the probability that a system will work 100 hours given that it has been working 50 hours or the same probability given

Which is larger: the probability that a system will work 100 hours given that it has been working 50 hours or the same probability given that the system has been working 60 hours? State the question in general, using letters rather than numbers, and give a rigorous proof.

(Advice: Show that _t p_x = _sp_x · _t−sp_x+s for s ≤ t.)

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