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A workstation is used until it fails and then it is sent out for repair. The time between failures, or the length of time the workstation functions until it needs repair, is a random variable . Assume the times between failures of the workstations available are independent random variables that are identically distributed. For , let the number of workstations that have failed be .
(a) If the time between failures of each workstation has an exponential PDF, then what type of process is ?
(b) Assume that you have just purchased 10 new workstations and that each has a 90-day warranty. If the mean time between failures (MTBF) is 250 days, what is the probability that at least one workstation will fail before the end of the warranty period?
If you were designing a study which group, a population or a sample, would you gather data from and why? Provide an explanation regarding whether or not the standard deviation is a biased or unbiased estimate.
A health club has six tennis courts. The owner hypothesizes that his patrons have no preference for a particular court. He observes how many people play on each court on a particular day. Compute the expected value for the data shown below.
If the researchers test 95- newborns for the presence of this gene, would it be unlikely for them to find fewer than 25 children with the gene?
What would it mean to say that this procedure produces valid 95% confidence intervals?- How could you use simulation to check whether the procedure produces valid 95% confidence intervals?
let x be a continuous random variable whose probability density function isfxx3 4for an interval 0 lt x lt c.what is
an article in the american statistician m. l. r. ernst et al. scatterplots for unordered pairs 50 1996 pp. 260-265
How is the presence of heteroscedasticity tested and How can heteroscedasticity be corrected and Regress C on Yd for the entire sample and test for heteroscedasticity.
Let market demand be given by Q( P) = 200 - P. Each firm's cost function is C(qi ) = 20qi , where i = 1, 2. Using the Cournot model, find each firm's output, profit, and price.
Based on these results, a confidence interval for the population mean is found to be μ = 5.7 ± 4.4. Find the degree of confidence.
The lives of many people are affected by a fear that prevents them from flying. The Marist Institute for Public Opinion conducted a poll of 1014 adults, 48%of whom were men.
The heights of 20- to 29-year-old females are known to have a population standard deviation 1) = 2.7 inches. A simple random sample of n = 15 females 20 to 29 years old results in the following data
Austin should not consider financing with yen and simultaneously purchasing yen 1 year forward because the effective financing rate would be 7 percent, the same as the financing rate in the United States.
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