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Consider a queueing system with two classes of customers, type A and type B. Type A customers arrive according to a Poisson process of rate λA and customers of type B arrive according to an independent Poisson process of rate λB. The queue has a FCFS server with exponential IID service times of rate μ > λA + λB. Characterize the departure process of class A customers; explain carefully. Hint: Consider the combined arrival process and be judicious about how to select between A and B types of customers.
Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.
Explain the notions of mathematical differences, managerially important differences, and statistical significance. Can results be statistically significant and yet lack managerial importance.
A sample of the monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical distribution. The sample mean is $150 and the standard deviation is $20.
two twin brothers hank and crank are kicking a ball around in a park. tim challenges james to a contest on who can kick
question 1 a package delivery service claims that no more than 5 percent of all packages arrive at the address late.
A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representatives travel per month and the amount of sales (in thousands of dollars) per month.
Ocean Juice produces both a cranberry juice cocktail and a raspberry-cranberry blend. Each day Ocean Juice can receive up to 1000 gallons of a raspberry concentrate that costs $2.00 per gallon and up to 4000 gallons of a cranberry concentrated tha..
Describe the rationale for utilizing probability concepts. Is there more than one type of probability? If so, describe the different types of probability.
Examine the operating earnings regression model output obtained from the 60 stores, as shown in Table 6.27. Try to improve the model by eliminating certain independent variables or by making any other changes that you think make good sense
Twin Oaks Health Center has a bond issue outstanding with a coupon rate of 7 percent and four years remaining until maturity. The par value of the bond is $1,000, and the bond pays interest annually.
Will the human subjects be informed of the nature of their involvement in the collection of data and of features of the research that reasonably might be expected to influence willingness to participate?
Show that the steady-state probability of state m is k Pr{m} = n pi(mi), i=1 where pi(mi) is the probability of state mi in an (M, M, s) queue.
What is the probability that Krupa will be able to pay a dividend of $1 per share next year and still have some money left over as retained earnings?
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