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The power failures in a certain region occur according to a Poisson process with rate λ1 = 1/5 per week. Moreover, the duration X (in hours) of a given power failure has an exponential distribution with parameter λ2 = 1/2.
Finally, we assume that the durations of the various power failures are independent random variables.
(a) What is the probability that the longest failure, among the first three power failures observed, lasts more than four hours?
(b) Suppose that there has been exactly one power failure during the first week considered. What is the probability that the failure had still not been repaired at the end of the week in question?
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Diamonds. Suppose that the couple shopping for a diamond in Example 28.15 (page 28-35) had used a quadratic regression model for the other quantitative variable, Depth. Use the data in Table 28.4 to answer the following questions.
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The following data is a subset of data obtained in an experiment to study the relationship between x = soil pH and y = A1 Concentration/EC ("Root Responses of Three Gramineae Species to Soil Acidity in an Oxisol and an Ultisol," Soil Science, 1973..
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a project was planned using pert with three times estimates. the expected completion time of the project was determined
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