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(a) Given that an arrival occurs in the interval (nδ, (n + 1)δ) for the sampled-time M/M/1 model in Figure 6.5, find the conditional PMF of the state of the system at time nδ (assume n is arbitrarily large and assume positive recurrence).
(b) For the same model, again in steady state but not conditioned on an arrival in (nδ, (n + 1)δ), find the probabilityQ(i, j) (i ≥ j > 0) that the system is in state i at nδ and that i - j departures occur before the next arrival.
(c) Find the expected number of customers seen in the system by the first arrival after time nδ. Note: The purpose of this exercise is to make you cautious about the meaning of 'the state seen by a random arrival'.
Text Book: Stochastic Processes: Theory for Applications By Robert G. Gallager.
i already formulate the problem but i need to solve the last question how to stabilize the two ships- proportionality?
Mike and Lisa formed a partnership at the beginning of the year. They were equal partners and they had the same basis. When the partnership was formed, Mike contributed the following items:
Boehm Incorporated is expected to pay a $1.70 per share dividend at the end of this year (i.e., D1 = $1.70). The dividend is expected to grow at a constant rate of 4% a year.
What would you predict the final exam points to be for a student with a GPA of 3.35 and an IQ of 120 and what is the relationship between a student's short-term IQ score, previous GPA, and final exam points?
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
The Acme Grocery store started a Coupons Instantly program. It requires a debit card with a minimum of $300, so the customer can buy as many coupons as they want.
What is the probability that the first job to leave system 1 after time t is the same as the first job that entered the entire system after time t?
Calculate the 2σ (sigma) control limits. The centerline should be based on the data from these 15 days. All calculations should be to three decimal places
Research and find financial statements for two companies of your choosing. Drawing on information from this course (managerial accounting), write an essay summarizing which of the two is a better investment.
Compute the total and annual returns on the described investment four years after buying 100 shares of XYZ stock for $60 per share, you sell the stock for $9300.
insert your own work and answers into this word file. if you use sas to answer a question then please cut and paste
Red River Farm Machine makes a wide variety of products, all of which must be processed in the cutting and Assembly departments. For the year 2010, Red River budgeted total overhead of $993,000,
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