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A small company has two identical servers that are running at the same time. The time until either server fails is exponentially distributed with a mean of 1/λ. When a server fails, a technician starts repairing it immediately. The two servers fail independently of each other. The time to repair a failed server is exponentially distributed with a mean of 1/μ. As soon as the repair is completed the server is brought back on line and is assumed to be as good as new.
a. Give the state-transition-rate diagram of the process.
b. What is the fraction of time that both servers are down?
Determine the mean and variance of the sampling distribution for the sample mean of samples of size 2 by calculating the means.
In Eurelia there are three categories of bicycle license, with different fees for each. The table below is based on a random sample of 122 Eurelian bicycle-license holders.
The article "Statistical Behavior Modeling for DriverAdaptive Precrash Systems" (IEEE Trans. on Intelligent Transp. Systems, 2013: 1-9) proposed the following mixture of two exponential distributions for modeling the behavior of what the authors c..
Construct a 95% confidence interval for the difference in proportions of women who deliver preterm - Confidence interval for the proportion of all patients
Find and report the regression equation for predicting the mother's years of education from the father's.
A computer manufacturer estimates that its line of mini- computers has, on average, 8.4 days of downtime per year. To test this claim, a researcher contacts seven companies that own one of these computers and is allowed to access company computer ..
Kyle stands on a street corner tossing a coin. He decides he will toss the coin 10 times, each time walking 1 block north if it lands head sup, and 1 block south if it lands tails up. Find the probability that he ends up 8 blocks south of his orig..
Sketch the areas under the standard normal curve over the indicated intervals, and find the specified areas.
Specification limits versus control limits. The manager you report to is confused by LSL and USL versus LCL and UCL. The notations look similar.
Find the probability that the mean weight of 5 Muesli bars is less than 30g? Find the probability that the mean weight of 7 Muesli bars is less than 30g? What can you conclude about the probability when the sample size increases? Use your answers to ..
The following numbers are observations on tensile strength of synthetic fabric specimens selected from a production process at equally spaced time intervals.
How much does average foot length increase for each 1-inch increase in height?- Predict the difference in the foot lengths of men whose heights differ by 10 inches.
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