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A machine is made up of two independent components placed in series. The lifetime of each component is uniformly distributed over the interval [0,1]. As soon as the machine breaks down, the component that caused the failure is replaced by a new one. Let N(t) be the number of replacements in the interval (0,t].
(a) Is the stochastic process {N(t), t ≥ 0} a continuous-time Markov chain? Justify.
(b) Is {N(t),t ≥ 0} a renewal process? Justify.
(c) Let 5i be the time of the first replacement. Calculate the probability density function of Si.
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an airport official wants to prove that the proportion of delayed flights for airline a denoted as p1 is less than the
a set of data is normally distributed with a mean of 200 and standard deviation of 50.middot what would be the standard
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a random sample of 25 was drawn from a normal distribution with a standard deviation of 5. the sample size is 400.
Construct a 90% confidence interval for the mean percentage of hotel reservations being cancelled on the day of the booked stay that falls between 1.1%-3.4%.
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a population has a mean of 81 and standard deviation of 25. find the mean and standard deviation of sampling
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Impact of September 11 Palos Co. commonly invests some of its excess dollars in foreign government short-term securities in order to earn a higher short-term interest rate on its cash.
The data in Table 8.12 are a subset of the data obtained by Shen et al. (1970) in an experiment concerned with the hypothesis that diabetes mellitus is not simply a function of insulin deficiency and that perhaps insulin insensitivity could play a..
assume that i have a variable with a sample mean 10 and sample n 50. and lets say that the population standard
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