Probability for Applications

Objecti'ves. As the title suggests, this book provides an introduction to probability designed to prepare the reader for intelligent and resourceful applications in a variety of fields. Its goal is to provide a careful exposition of those concepts, interp

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Paul E. Pfeiffer Department of Mathematical Sciences Rice University Houston, Texas 77251-1892

Library of Congress Cataloging-in-Publication Data Pfeiffer, Paul E. Probability for applications I Paul E. Pfeiffer. p. cm.-(Springer texts in statistics) ISBN-13: 978-1-4615-7678-5 e-ISBN-13: 978-1-4615-7676-1 DOl: 10.1007/978-1-4615-7676-1 I. Probabilities. I. Title. II. Series. QA273.P423 1989 519.2-dc20 89-21924 Printed on acid-free paper. © 1990 by Springer-Verlag New York Inc. Softcover reprint ofthe hardcover I st edition 1990 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag, 175 Fifth Avenue, New York, New York 10010, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any fonn of infonnation storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc. in this publication, even if the fonner are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Camera-ready copy fonnatted using LaTeX.

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Preface Objecti'ves. As the title suggests, this book provides an introduction to probability designed to prepare the reader for intelligent and resourceful applications in a variety of fields. Its goal is to provide a careful exposition of those concepts, interpretations, and analytical techniques needed for the study of such topics as statistics, introductory random processes,