Tailings dams are a major feature of the mining industry. They have not been studies extensively from the point of view of statistical reliability, and some of the data are hard to come by. Nevertheless, it is clear that they fail at a higher rate than engineered dams. It is reasonable to assume that their failure is governed by a Weibull distribution with shape parameter B = 1.5. If dams seem to fail at the rate of 0.001 per dam-year, a) What is the mean time to failure (MTTF)? b) What is the value of the scale parameter 0? c) What is the median failure time?

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Tailings dams are a major feature of the mining industry. They have not been studies extensively
from the point of view of statistical reliability, and some of the data are hard to come by.
Nevertheless, it is clear that they fail at a higher rate than engineered dams. It is reasonable to
assume that their failure is governed by a Weibull distribution with shape parameter B = 1.5. If
dams seem to fail at the rate of 0.001 per dam-year,
a) What is the mean time to failure (MTTF)?
b) What is the value of the scale parameter 0?
c) What is the median failure time?
Transcribed Image Text:Tailings dams are a major feature of the mining industry. They have not been studies extensively from the point of view of statistical reliability, and some of the data are hard to come by. Nevertheless, it is clear that they fail at a higher rate than engineered dams. It is reasonable to assume that their failure is governed by a Weibull distribution with shape parameter B = 1.5. If dams seem to fail at the rate of 0.001 per dam-year, a) What is the mean time to failure (MTTF)? b) What is the value of the scale parameter 0? c) What is the median failure time?
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