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Suppose that we modify the M/M/2 queueing system as follows: when a server is free, he assists (if needed) the other server, so that the service time, S, has an exponential distribution with parameter 2μ. If a new customer arrives while a customer is being served by the two servers at the same time, then one the servers starts serving the new customer.
(a) Calculate the limiting probabilities if we suppose that A μ.
(b) Suppose that the system capacity is c = 2 and that λ = μ1. Calculate the average number of customers in the system in stationary regime, given that the system is not full.
The perceptions of accounting professors with respect to the present and desired importance of various factors considered in promotion and tenure decisions at major universities was investigated in the Journal of Accounting Education (Spring 1983)..
Problem 4.2.6 extended Example 4.1 to a test of n circuits and identified the joint PDF of X, the number of acceptable circuits, and Y, the number of successful tests before the first reject. Write a Matlab function
Body mass index is measured as the ratio of weight in kilograms to height in meters squared. Generate a 95% confidence interval estimate of the true BMI.
1. let x and y be bernoulli random variables. let z x ya. show that if x and y cannot both be equal to 1 then z is
Machines used to fill food cartons are usually set to slightly overfill the boxes so that the contents will not weigh less than the advertised net weight. This takes into account the fact that the actual weight of each box varies somewhat from th..
Test research hypotheses that there is a difference in level of education between liberals and conservatives, set alpha at .01. Would your decision have been different if alpha were set at .05?
Test the hypothesis, at the 5 percent level of significance, that the two measuring instruments give equivalent results.
Should the conclusions between the two tests consistent? Why or why not? If the conclusions are not consistent, which one would you agree with and why?
Implement a representation for rectangles in a plane. (Hint: You may want to make use of exercise 2.2.) In terms of your constructors and selectors, create procedures that compute the perimeter and the area of a given rectangle. Now implement a di..
The sample mean of the number of spots on the 6000 rolls, should be about If this die is rolled 6000 times, the number of times we get a 2 or a 3 should be about
Assuming the scores are normally distributed, what percentage of sample means are between 7272and 7474?Round the standard score to the nearest tenth before using the z-score tables. Round the final answer to the nearest hundredth of a percent.
What is the largest possible value of the covariance? Remember that r can be positive or negative and what is the covariance between X and Y
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