Fundamentals Probability / Edition 1

Hardcover (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $1.99
Usually ships in 1-2 business days
(Save 97%)
Other sellers (Hardcover)
  • All (16) from $1.99   
  • New (3) from $17.65   
  • Used (13) from $1.99   
Sort by
Page 1 of 1
Showing All
Note: Marketplace items are not eligible for any coupons and promotions
Seller since 2014

Feedback rating:



New — never opened or used in original packaging.

Like New — packaging may have been opened. A "Like New" item is suitable to give as a gift.

Very Good — may have minor signs of wear on packaging but item works perfectly and has no damage.

Good — item is in good condition but packaging may have signs of shelf wear/aging or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Acceptable — item is in working order but may show signs of wear such as scratches or torn packaging. All specific defects should be noted in the Comments section associated with each item.

Used — An item that has been opened and may show signs of wear. All specific defects should be noted in the Comments section associated with each item.

Refurbished — A used item that has been renewed or updated and verified to be in proper working condition. Not necessarily completed by the original manufacturer.

New New. I ship next day by USPS mail.

Ships from: Holiday, FL

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
Seller since 2015

Feedback rating:


Condition: New
Brand New Item.

Ships from: Chatham, NJ

Usually ships in 1-2 business days

  • Canadian
  • International
  • Standard, 48 States
  • Standard (AK, HI)
  • Express, 48 States
  • Express (AK, HI)
Seller since 2015

Feedback rating:


Condition: New
Brand new.

Ships from: acton, MA

Usually ships in 1-2 business days

  • Standard, 48 States
  • Standard (AK, HI)
Page 1 of 1
Showing All
Sort by


This book is a valuable reference to Basic Probability and related problems, featuring unique discussions published in recent journals to support individual investigation. Chapter topics include combinatorial methods, conditional probability and independence, random variables, distributions, and simulation. For professionals in the fields of computer and actuarial science, electrical and industrial engineering,, operations research, applied mathematics, and statistics, who desire additional input to help solve the indeterministic business, government, and engineering problems they encounter at work.
Read More Show Less

Editorial Reviews

This one-semester basic probability textbook is written for majors in mathematics, physics, engineering, statistics, actuarial science, operations research, and computer science. The revised edition adds a subsection on reliability of systems and a section on order statistics to the chapter on joint distributions. Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

  • ISBN-13: 9780130657985
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 9/28/1995
  • Edition description: Older Edition
  • Edition number: 1
  • Pages: 512
  • Product dimensions: 6.32 (w) x 9.31 (h) x 1.11 (d)

Table of Contents

Preface xi
1 Axioms of Probability 1
1.1 Introduction 1
1.2 Sample Space and Events 4
1.3 Axioms of Probability 11
1.4 Basic Theorems 18
1.5 Continuity of Probability Function 27
1.6 Probabilities 0 and 1 29
1.7 Random Selection of Points from Intervals 31
Review Problems 35
2 Combinatorial Methods 38
2.1 Introduction 38
2.2 Counting Principle 38
Number of Subsets of a Set 42
Tree Diagrams 43
2.3 Permutations 47
2.4 Combinations 54
2.5 Stirling's Formula 70
Review Problems 72
3 Conditional Probability and Independence 75
3.1 Conditional Probability 75
Reduction of Sample Space 79
3.2 Law of Multiplication 85
3.3 Law of Total Probability 89
3.4 Bayes' Formula 99
3.5 Independence 106
Review Problems 126
4 Distribution Functions and Discrete Random Variables 129
4.1 Random Variables 129
4.2 Distribution Functions 134
4.3 Discrete Random Variables 143
4.4 Expectations of Discrete Random Variables 150
4.5 Variances and Moments of Discrete Random Variables 161
Moments 167
4.6 Standardized Random Variables 170
Review Problems 171
5 Special Discrete Distributions 174
5.1 Bernoulli and Binomial Random Variables 174
Expectations and Variances of Binomial Random Variables 180
5.2 Poisson Random Variable 188
Poisson as an Approximation to Binomial 188
Poisson Process 194
5.3 Other Discrete Random Variables 203
Geometric Random Variable 203
Negative Binomial Random Variable 205
Hypergeometric Random Variable 207
Review Problems 215
6 Continuous Random Variables 218
6.1 Probability Density Functions 218
6.2 Density Function of a Function of a Random Variable 227
6.3 Expectations and Variances 233
Expectations of Continuous Random Variables 233
Variances of Continuous Random Variables 239
Review Problems 245
7 Special Continuous Distributions 247
7.1 Uniform Random Variable 247
7.2 Normal Random Variable 254
Correction for Continuity 257
7.3 Exponential Random Variable 269
7.4 Gamma Distribution 276
7.5 Beta Distribution 281
Review Problems 285
8 Joint distributions 287
8.1 Bivariate Distributions 287
Joint Probability Functions 287
Joint Probability Density Functions 290
8.2 Independent Random Variables 305
8.3 Conditional Distributions 316
8.4 Multivariate Distributions 329
8.5 Order Statistics 345
8.6 Multinomial Distributions 352
8.7 Transformations of Two Random Variables 356
Review Problems 362
9 More Expectations and Variances 367
9.1 Expected Values of Sums of Random Variables 367
Pattern Appearance 376
9.2 Covariance 383
9.3 Correlation 392
9.4 Conditioning on Random Variables 397
9.5 Bivariate Normal Distribution 408
Review Problems 414
10 Sums of Independent Random Variables and Limit Theorems 416
10.1 Moment-Generating Functions 416
10.2 Sums of Independent Random Variables 427
10.3 Markov and Chebyshev Inequalities 437
10.4 Laws of Large Numbers 443
10.5 Central Limit Theorem 452
Review Problems 458
11 Simulation 461
11.1 Introduction 461
11.2 Simulation of Combinatorial Problems 466
11.3 Simulation of Conditional Probabilities 469
11.4 Simulation of Random Variables 473
11.5 Monte Carlo Method 481
Appendix Tables 487
Answers to Odd-Numbered Exercises 491
Index 501
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)