By U. Narayan Bhat
This introductory textbook is designed for a one-semester path on queueing concept that doesn't require a direction in stochastic methods as a prerequisite. by means of integrating the required history on stochastic approaches with the research of types, this ebook presents a foundational creation to the modeling and research of queueing platforms for a large interdisciplinary viewers of scholars. Containing workouts and examples, this quantity can be utilized as a textbook by way of first-year graduate and upper-level undergraduate scholars. The paintings can also be precious as a self-study reference for functions and extra learn.
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Extra resources for An Introduction to Queueing Theory: Modeling and Analysis in Applications (2nd Edition)
Answer: The symbol for the mean of a sample is X ; the mean of the population, which is also referred to as mu, is m. Let me make one last point about the mean—whether you’re talking about a population mean (m) or a sample mean (X ). One of the properties of the mean is that it is sensitive to extreme scores. In other words, the calculated value of the mean is very much affected by the presence of extreme scores in the distribution. This is something you already know, particularly if you’ve ever been in a situation in which just one horribly low test score wrecked your overall average.
To develop a solid understanding of what the variance tells us, consider the four distributions shown in Table 2-13. In the top two distributions, the variances are the same, but the means are very different. In the bottom two distributions, the means are equal, but the variances are very different. By now you should be developing some appreciation for the concept of variance, particularly in terms of how it can be used to compare one distribution to another. But there’s still one problem with the variance as a statistical measure.
67 62°–81° The range tells you something about a distribution, but it doesn’t tell you much. To have more information, you’d need a more sophisticated measure. We’ll eventually explore some of the other measures, but ﬁrst let’s spend a little time on a central concept—the general notion of variability, or deviations from the mean. ✔ ❏ LEARNING CHECK Question: What is the range? Answer: The range is a measure of dispersion. It is a simple statement of the highest and lowest scores in a distribution.