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**Unformatted text preview: **106.6 148.8 198.1 3. The following data were collected on the number of production runs that resulted in a failure that stopped the production line: 5, 8, 2, 10, 7, 1, 2, 5. Therefore, if the random variable of interest, X, is the number of production runs necessary to obtain a failure, 1) What’s the probability distribution for X? 2) What’s the maximum likelihood estimate for the parameter? 3) What’s the probability that the line will fail during the third run? 4. Repair times of a mechanical pump are believed to follow a lognormal distribution. Twenty-five repair times (in minutes) were observed as part of a maintainability demonstration: 47.1 84.8 151.9 122.5 218.2 99.6 59.8 138.8 213.5 53.4 102.4 100.8 230.1 104.6 61.5 122.1 186.2 498.4 77.0 78.7 112.3 44.0 151.3 151.3 222.8 Find the MLEs for the lognormal distribution....

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- Winter '14
- Normal Distribution, Failure rate, following failure times, production runs, exponential least-squares plot, reliability test program