This paper deals with a system capable of randomly attaining two states “on” and “off". For convenience this system is pictured as a pulse train. The question is, what is the expected amount of time that n n of such systems are in the same state simultaneously. The answer is shown to depend on the probability of a system being in a given state at a specified time. A formal solution for the Laplace transform of this probability is given.
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George H. Weiss (1956) studied this question.