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A flashlight needs two batteries to be operational. You start with four batteries numbered 1–4….


A flashlight needs two batteries to be operational. You start with four batteries numbered 1–4. Whenever a battery fails it is replaced by the lowest-numbered working battery. Suppose that battery life is exponential with mean 100 hours. Let T be the time at which there is one working battery left and N be the number of the one battery that is still good. (a) Find ET. (b) Find the distribution of N.