Consider a queueing system with two types of customers. Type 1 customers arrive according to aPoisson process with a mean rate of 7 per hour. Type 2 customers also arrive according to a Poissonprocess with a mean rate of 5 per hour. The system has two servers, both of which serve both typesof customers. For both types, service times have an exponential distribution with a mean of 12minutes. Service is provided on a first-come-first-served basis.a) What is the probability distribution (including its mean) of the time between consecutive arrival ofcustomers of any type?b) When a particular type 2 customer arrives, he finds two type 1 customers there in the process ofbeing served but no other customers in the system. What is the probability distribution (including itsmean) of this type 2 customer's waiting time in the queue?

In queuing theory, the arrival of customers is distributed as Poisson. And the service time provided…

Answered: Consider a queueing system with two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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According to the All Pakistan Software Developer Association (APSDA), developers generally spend more than 40 hours each week working on software and web development. The Table 4.1 shows the number of hours worked per week for a sample of 15 Software developers and a sample of 10 Web developers. Table 4.1 Software Developers 56 54 54 49 61 48 58 60 59 53 50 58 55 57 52 Web Developers 47 50 46 47 48 49 46 55 44 42 - Comment on the differences between the box plots for Software & Web developersdevelopers? Use excel to solve this question and also show the formulas
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Show all work. 1.) Travel Web sites: The following table shows the number of visitors to the five most frequently visited travel Wed sites in October 2010 Web Site Trip Advisor Yahoo! Travel Expedia Travelocity Priceline Total Number of Visitors 24,000,000 23,250,000 23,000,000 16,000,000 15.000.000 101,250,000 at the Assuming this trend continues, if a person chooses to visit only one of the listed Web sites, determine the empiracla probability the person will visit a.) Priceline b.) Expedia shelf, determine the pr 24/10) c.) Trip Advisor wo selects a jar of (smrt sno
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Suppose a school of economics and a business school have conducted studies of how chief executive officers (CEOs) spend their time. Assume these studies have found that CEOs spend many hours per week in meetings that include conference calls, business meals, and public events. Suppose that the data below show the time spent per week in meetings (hours) for a sample of 25 CEOs. 14 15 18 23 15 19 21 13 15 23 23 21 16 21 21 16 16 18 18 19 20 22 23 21 12 (a) What is the least amount of time spent per week on meetings? h What is the highest amount of time spent per week on meetings? h (b) Use a class width of two hours to prepare a frequency distribution and a percent frequency distribution for the data. Hours inMeetingsper Week Frequency PercentFrequency 11–12 13–14 15–16 17–18 19–20 21–22 23–24 Total (c) Prepare a histogram. A histogram with 7 bars is given. The horizontal axis is labeled: Hours per Week…
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Answer the following question.
A particular cookie company has a double-feature box of cookies. These boxes come with two types of cookies; oatmeal raisin and chocolate-chip. However, the proportion of cookies of each type varies. A data analyst working for the company wonders if there is a tendency for the boxes to have more of one type of cookie than the other. In order to investigate, he selects 72 boxes of the double-feature oatmeal raisin/choc-chip cookies and counts the number of each type of cookie. He finds out that, in his sample of 72 boxes, the proportion of chocolate chip cookies is 0.22. What is the standard deviation of the sampling proportion for the proportion of chocolate chip cookies? Note: 1- Round your final answer to 3 decimal places. Enter your final answer with 3 decimal places. 2-If standard deviation cannot be calculated, standard error is created in its place. Your Answer: Answer

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