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c) The lack of rock noise may be equally worrying, in that it may mean that the big one' is coming. If rock noises remain normal (as stated above), what length of time between noises occurs with only probability 1% (or less)?

c) The lack of rock noise may be equally worrying, in that it may mean that the big one' is coming. If rock noises remain normal (as stated above), what length of time between noises occurs with only probability 1% (or less)?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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After mining operations, small-scale displacements take place that result in the release of seismic and acoustic energy, called rock noise. This energy can be detected using special geophysical equipment (see "A multichannel rock noise monitoring system," Gowd and Rao, Journal of Mines, Metals and Fuels, 1981). Assume that, at a particular mine, rock noises are recorded once every 20 minutes on average and this is considered to be normal. Assume that rock noise is a Poisson process in time. a) What is the probability that, at this mine, 5 rock noises will be recorded in the next hour? b) Suppose that concerns are raised if 6 or more rock noises are recorded in an hour. What is the probability of this even though the overall rate of rock noise remains normal (as stated above)? c) The lack of rock noise may be equally worrying, in that it may mean that the big one' is coming. If rock noises remain normal (as stated above), what length of time between noises occurs with only probability 1% (or less)?
Transcribed Image Text:After mining operations, small-scale displacements take place that result in the release of seismic and acoustic energy, called rock noise. This energy can be detected using special geophysical equipment (see "A multichannel rock noise monitoring system," Gowd and Rao, Journal of Mines, Metals and Fuels, 1981). Assume that, at a particular mine, rock noises are recorded once every 20 minutes on average and this is considered to be normal. Assume that rock noise is a Poisson process in time. a) What is the probability that, at this mine, 5 rock noises will be recorded in the next hour? b) Suppose that concerns are raised if 6 or more rock noises are recorded in an hour. What is the probability of this even though the overall rate of rock noise remains normal (as stated above)? c) The lack of rock noise may be equally worrying, in that it may mean that the big one' is coming. If rock noises remain normal (as stated above), what length of time between noises occurs with only probability 1% (or less)?
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