Disribuciones Estadisticas

Instructor Solution Manual Probability and Statistics for Engineers and Scientists (3rd Edition)

Anthony Hayter

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Instructor Solution Manual This instructor solution manual to accompany the third edition of “Probability and Statistics for Engineers and Scientists” by Anthony Hayter provides worked solutions and answers to all of the problems given in the textbook. The student solutionmanual provides worked solutions and answers to only the odd-numbered problems given at the end of the chapter sections. In addition to the material contained in the student solution manual, this instructor manual therefore provides worked solutions and answers to the even-numbered problems given at the end of the chapter sections together with all of the supplementary problems at the end of eachchapter.

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Contents
1 Probability Theory 1.1 Probabilities . . . . . . . . . . . . . 1.2 Events . . . . . . . . . . . . . . . . 1.3 Combinations of Events . . . . . . 1.4 Conditional Probability . . . . . . 1.5 Probabilities of Event Intersections 1.6 Posterior Probabilities . . . . . . . 1.7 Counting Techniques . . . . . . . . 1.9 Supplementary Problems . . . . . . 7 7 9 13 16 22 28 3237 49 49 54 58 62 68 77 86 95 95 99 102 105 107 109

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2 Random Variables 2.1 Discrete Random Variables . . . . . . . 2.2 Continuous Random Variables . . . . . . 2.3 The Expectation of a Random Variable 2.4 The Variance of a Random Variable . . 2.5 Jointly Distributed Random Variables . 2.6Combinations and Functions of Random 2.8 Supplementary Problems . . . . . . . . .

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3 Discrete Probability Distributions 3.1 The Binomial Distribution . . . . . . . . . . . . . . . 3.2 The Geometric and Negative Binomial Distributions 3.3 The Hypergeometric Distribution . . . . . . . . . . . 3.4 The Poisson Distribution . . . . . . . . . . . . . . . 3.5 The Multinomial Distribution . . . . . . . . . . . . . 3.7 SupplementaryProblems . . . . . . . . . . . . . . . . 4 Continuous Probability Distributions 4.1 The Uniform Distribution . . . . . . . 4.2 The Exponential Distribution . . . . . 4.3 The Gamma Distribution . . . . . . . 4.4 The Weibull Distribution . . . . . . . 4.5 The Beta Distribution . . . . . . . . . 4.7 Supplementary Problems . . . . . . . . 3

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113 . 113 . 116 . 119 . 121 . 123 . 125

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CONTENTS

5 The 5.1 5.2 5.3 5.4 5.6

Normal Distribution Probability Calculations using the Normal Distribution . . Linear Combinations of Normal Random Variables . . . . . Approximating Distributions with the Normal...