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Suppose that the times between the arrivals of consecutive customers in a certain queueing system are independent random variables uniformly distributed over the interval (0,1). The service time is exponentially distributed, with parameter μ. Finally, the (only) server is able to serve all the customers at once, so that there is no waiting. Calculate the limiting probability that the server is busy.
Indication. Use the results on renewal processes.
charles savings and loan is testing the hypothesis that the portion of deposit slips which are filled out incorrectly
Let f(x) be the uniform density on [0,1] and let g(x) be the density on [0,1] given by g(x)=ce^x, where c is the normalizing constant. Let F, and G be the corresponding CDFs. Find the density function corresponding to the new CDF H(x) = F(x)G(x).
Basing your decision on the value of the t statistic, is it reasonable to say that this information supports the hypothesis that the mean of the population is 58?
A box contains six parts. Two of the parts are defective and four are ok. If three of the six parts are selected from the bin, how large is the sample space?
q1 use the normal approximation to the binomial to find the probability of x 20 when n 30 and p 0.5.q2 of
let ia be an indicator function of a.a show that the indicator of a compliment is 1- indicator of a.b show that the
Find at least what % of the weights are within xbar ± 3.5s - pounds of a sample of high school football players.
It is often stated in three-shift manufacturing organizations that the quality of work on the second shift is worse than on the first, and that the quality of work on the third shift is worst of all. How would you go about testing that premise?
Consider an experiment in which each of three cars exiting from a university main entrance turns right (R) or left (L). Assume that a car will turn right or left with equal probability of 1/2. What is the sample space S?
Plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two?
the distribution of the annual incomes of a group of middle management employees approximated a normal distribution
Explain how many cars would required to go by the speed trap to be 99.8% sure which at least one driver will warm oncoming traffic of the speed trap.
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