Probability and statistics for computer scientists solutions pdf

ISBN: 978-0-470-38342-1 May 2008 760 Pages

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Description

Comprehensive and thorough development of both probability and statistics for serious computer scientists; goal-oriented: "to present the mathematical analysis underlying probability results"
Special emphases on simulation and discrete decision theory
Mathematically-rich, but self-contained text, at a gentle pace
Review of calculus and linear algebra in an appendix
Mathematical interludes (in each chapter) which examine mathematical techniques in the context of probabilistic or statistical importance
Numerous section exercises, summaries, historical notes, and Further Readings for reinforcement of content

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About the Author

JAMES L. JOHNSON holds a PhD in Mathematics and has twenty-five years experience in academic and industrial computer science. He is currently Professor of Computer Science at Western Washington University. He is also the author of Database: Models, Languages, Design.

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Table of contents

Preface.

1. Combinatorics and Probability.

2. Discrete Distributions.

3. Simulation.

4. Discrete Decision Theory.

5. Real Line-Probability.

6. Continuous Distributions.

7. Parameter Estimation.

Appendix A. Analytical Tools.

Appendix B. Statistical Tables.

Bibliography.

Index.

Reviews

"This text will fill a gap in the education of a sophisticated computer science student who has a firm base in mathematics and statistics." (Computing Reviews, May 7, 2009)

"…this textbook would be ideal." (The American Statistician, February 2006)

"This is really a statistics textbook written explicitly for undergraduate computer science majors…I found the numerous examples of the use of statistics within the field of computer science extremely informative." (Technometrics, November 2004)

"Thorough, in-depth, relatively complete and rigorous introduction to the statistics a CS professional should know." (American Mathematical Monthly, August 2004)

"This is a rigorous introductory text in probability and statistics, which also develops in a rigorous fashion all the necessary supporting mathematics beyond calculus and algebra." (Mathematical Reviews, issue 2004i)

"...one-of-a-kind resource...proves an ideal resource for computer science students and practitioners interested in a probability study..." (Zentralblatt Math, Vol. 1027, 2004)

“...presents introductory topics in probability and statistics with particular emphasis on concepts that arise in computer science...disguised also by the feature that it develops all necessary supporting mathematics in a thorough and rigorous fashion.” (Quarterly of Applied Mathematics, Vol. LXI, No. 4, December 2003)

Probability and statistics for computer scientists solutions pdf

50SolutionstoExercises

4 Solutions to Exercises

4.1 About these solutions

ThesolutionsthatfollowwerepreparedbyDarrylK.Nester.Ioccasionallypillagedor

plagiarizedsolutions fromthesecondedition(preparedbyGeorgeMcCabe),butItakefull

responsibilityforanyerrorsthatmayremain.Shouldyoudiscoveranyerrorsorhave any

commentsaboutthesesolutions(ortheoddanswers,inthebackofthetext),pleasereport

themtome:DarrylNester

BlufftonCollege

Bluffton,Ohio 45817

email:

WWW:http://www.bluffton.edu/~nesterd

4.2 Using the table of random digits

GradingSRSschosenfromthetableofrandomdigitsiscomplicatedbythefactthatstudents

can Þndsomecreativewaysto(mis)usethetable.Someapproachesarenotmistakes,but

mayleadtodifferentstudentshavingdifferentÒrightÓanswers.Correctanswers willvary

basedon:

Thelineinthetableonwhichtheybegin(youmaywanttospecifyoneifthetextdoes

not).

Whethertheystartwith, e.g.,00or01.

Whetherornottheyassignmultiplelabelstoeachunit.

Whethertheyassignlabelsacrosstherowsordownthecolumns(nearly alllistsinthe

textarealphabetizeddownthecolumns).

Someapproachescanpotentiallyleadtowronganswers.Mistakestowatchoutforinclude:

Theymay forgetthatalllabelsmustbethesamelength,e.g.,assigninglabelslike

0,1,2,...,9,10,...ratherthan 00,01,02,....

Inassigningmultiplelabels,theymaynotgivethesamenumberoflabelstoallunits.

E.g.,ifthereare30 units,theymaytrytouseupallthetwo-digitnumbers,thusassigning

4labelstotheÞrsttenunitsandonly3totheremainingtwenty.

4.3 Using statistical software

Theuseofcomputersoftwareoracalculatorisamustforallbutthemostcursorytreatment

ofthematerialinthistext.Beawareof thefollowingconsiderations:

Is Probability and Statistics good for computer science?

Answer and Explanation: Computer science depends on probability and statistics as computer scientists need to know the probability to design algorithms for sorting data or detecting problems in computer systems.

How probability and Statistics are used in computer science?

Probability is everywhere in computer science. In networks and systems, it is a key tool that allows us to predict performance, to understand how delay changes with the system parameters, and more. In algorithms, randomization is used to design faster and simpler algorithms than their deterministic counterparts.

What is the role of computer in solving statistical problem?

The role of computers in statistics are as follows: Statistics is utilized for data mining, speech distinction, illusion and image estimation, data condensation, artificial understanding, and network and traffic modelling. Computational statistics is the union between statistics and computer science.