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Probability that five or more units will be operating

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Question: 1. Eight similar units are put into operation at a given time. The time to failure (in hours) of each unit is exponential (1/750). If the units fail independently, what is the probability that five or more units will be operating at the end of 500 hours?

2. The location of ten points along a line may be considered iid random variables with symmytric triangular distribution on [1; 3]. What is the probability that three or more will lie within distance 1/2 of the point t = 2?

Reference no: EM131674118

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