Continuous Random Variables

In Chapter  2 , we discussed discrete random variables. These random variables took on finite or countably many values. Here we will study random variables whose set of possible values is uncountable. For example, the price of a stock with its erratic ups

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Giray Ökten

Probability and Simulation

Springer Undergraduate Texts in Mathematics and Technology Series Editors Helge Holden, Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway Keri A. Kornelson, Department of Mathematics, University of Oklahoma, Norman, OK, USA Editorial Board Lisa Goldberg, Department of Statistics, University of California, Berkeley, Berkeley, CA, USA Armin Iske, Department of Mathematics, University of Hamburg, Hamburg, Germany Palle E.T. Jorgensen, Department of Mathematics, University of Iowa, Iowa City, IA, USA

Springer Undergraduate Texts in Mathematics and Technology (SUMAT) publishes textbooks aimed primarily at the undergraduate. Each text is designed principally for students who are considering careers either in the mathematical sciences or in technology-based areas such as engineering, finance, information technology and computer science, bioscience and medicine, optimization or industry. Texts aim to be accessible introductions to a wide range of core mathematical disciplines and their practical, real-world applications; and are fashioned both for course use and for independent study.

More information about this series at http://www.springer.com/series/7438

Giray Ökten

Probability and Simulation

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Giray Ökten Department of Mathematics Florida State University Tallahassee, FL, USA

ISSN 1867-5506 ISSN 1867-5514 (electronic) Springer Undergraduate Texts in Mathematics and Technology ISBN 978-3-030-56069-0 ISBN 978-3-030-56070-6 (eBook) https://doi.org/10.1007/978-3-030-56070-6 Mathematics Subject Classification: 97K50, 60-01 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are solely and exclusively licensed by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Spr