'Suppose x' diaporamas de présentation

CHAPTER 5

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Sample Mean, A Formula

Sample Mean, A Formula. If X is any random variable, then, as n increases without bound, the distribution of its standardized sample mean, approaches the distribution of the standard normal random variable, Z, whose p.d.f . is This is called the Central Limit Theorem .

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Example

Example. A device containing two key components fails when and only when both components fail. The lifetime, T 1 and T 2 , of these components are independent with a common density function given by

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Web Chapter A Optimization Techniques

Web Chapter A Optimization Techniques. Overview Unconstrained & Constrained Optimization Calculus of one variable Partial Differentiation in Economics Appendix to Web Chapter A: Lagrangians and Constrained Optimization. ? 2002 South-Western Publishing .

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STT 315

STT 315. Ashwini Maurya. This lecture is based on Chapters 4.3-4.4. Acknowledgement: Author is thankful to Dr. Ashok Sinha, Dr . Jennifer Kaplan and Dr. Parthanil Roy for allowing him to use/edit some of their slides. Binomial random variable.

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Normal Distribution

Normal Distribution. The Bell Curve. Questions. What are the parameters that drive the normal distribution? What does each control? Draw a picture to illustrate. Identify proportions of the normal, e.g., what percent falls above the mean? Between 1 and 2 SDs above the mean?

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CSC 1035 Supplement for Chapter 2 Functional Dependencies

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