Introductory statistics and probability: a basis for decision making
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Houghton Mifflin
1971
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 356 S. graph. Darst. |
| ISBN: | 0395110637 |
Internformat
MARC
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| 100 | 1 | |a Blakeslee, David W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introductory statistics and probability |b a basis for decision making |c David W. Blakeslee ; William G. Chinn |
| 264 | 1 | |a Boston [u.a.] |b Houghton Mifflin |c 1971 | |
| 300 | |a IX, 356 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Decision Making | |
| 650 | 4 | |a Mathematical statistics | |
| 650 | 4 | |a Probabilities | |
| 650 | 4 | |a Probability | |
| 650 | 4 | |a Statistical decision | |
| 650 | 4 | |a Statistics as Topic | |
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| 700 | 1 | |a Chinn, William G. |e Verfasser |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804120480652722176 |
|---|---|
| adam_text | Contents
Chapter 1 Introduction 1
1.1 Decisions in the Face of Uncertainty 2
1.2 Statistics and Probability 5
1.3 Experimental and Historical Data 8
1.4 Organizing Numerical Data 10
1.5 A Word about Words 12
1.6 What Do You Think? 13
Chapter 2 Probability—Preliminary Ideas 15
2.1 Theoretical (A Priori) and Experimental (Empirical)
Probabilities 15
2.2 Sets of Possible Outcomes of Experiments 17
2.3 Assigning Probabilities 22
2.4 Events and Their Probabilities 26
2.5 Summary of Probabilities of Events 31
2.6 The Probability of the Union of Two Events 34
2.7 Proving Some Theorems 40
2.8 What Do You Think? 42
Chapter Summary 44
Chapter Review 45
Chapter 3 Conditional Probability 47
3.1 A Formula for Conditional Probability 47
3.2 Experiments Having Several Steps 53
3.3 Experiments with Assigned Probabilities 61
3.4 Independent Events 64
3.5 Repeated Independent Trials 69
* 3.6 Bayes Formula 73
Chapter Summary 78
Chapter Review 78
Chapter 4 Numerical Data 81
4.1 Frequency Distributions 81
4.2 Grouped Data 88
/ 4.3 The Mean 92
4.4 The Variance and the Standard Deviation 96
* Computer Investigations 103
vii
viii / Contents
4.5 What Do You Think? 104
Chapter Summary 106
Chapter Review 107
Chapter 5 Random Variables and Probability Functions 109
5.1 Random Variables 109
5.2 Probability Functions and Their Graphs 113
5.3 Continuous Probability Distributions 120
5.4 The Standard Normal Distribution 125
5.5 The Expected Value of a Random Variable 128
5.6 What Do You Think? 133
Chapter Summary 136
Chapter Review 136
Chapter 6 Functions of Random Variables 139
6.1 E(aX + b), E(X2) 140
6.2 Variance and Standard Deviation 147
6.3 Sums of Random Variables 152
6.4 A Standardized Random Variable 158
• 6.5 What Do You Think? 162
~k Computer Investigations 173
Chapter Summary 173
Chapter Review 175
Chapter 7 The Binomial Distributions 177
7.1 Definition of a Binomial Distribution 177
7.2 Permutations and Combinations 185
k Computer Investigations 189
7.3 Binomial Coefficients 190
7.4 More about Binomial Distributions 193
7.5 What Do You Think? 199
Chapter Summary 201
Chapter Review 202
Chapter 8 Using Continuous Distributions 203
8.1 Standardizing a Normal Distribution 203
8.2 Normal Approximation to a Binomial Distribution 206
* Computer Investigations 212
* 8.3 Poisson Approximation to a Binomial Distribution 212
8.4 What Do You Think? 214
Chapter Summary 217
Chapter Review 217
Contents / ix
Chapter 9 Sampling 219
9.1 Population Random Variable 220
9.2 Random Sampling 222
9.3 The Sample Mean, X 226
9.4 The Law of Large Numbers 230
9.5 More about the Distribution of X 232
9.6 What Do You Think? 235
Chapter Summary 238
Chapter Review 239
Chapter 10 Estimation 241
10.1 Sample of Size One 241
10.2 Point Estimation 243
10.3 Confidence Intervals 244
10.4 Using Confidence Intervals 248
* Computer Investigations 253
10.5 Significance 253
10.6 What Do You Think? 258
Chapter Summary 260
Chapter Review 261
Chapter 11 Decision Making 263
11.1 Statistical Hypotheses 264
11.2 Two Sided Statistical Tests 266
11.3 One Sided Statistical Tests 270
11.4 Risk; Type I Errors 273
11.5 Alternate Hypotheses; Type II Errors 275
11.6 Decisions, Decisions 278
Chapter Summary 279
Chapter Review 279
Appendix Note on Summation Notation 281
List of Formulas 284
Selected Solutions and Answers 286
Tables Table B Binomial Distributions b(n,p; x) 339
Table N The Cumulative Standard Normal Distribution 344
Table P Poisson Distributions 345
Table R Squares and Square Roots 347
Index 353
|
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
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| id | DE-604.BV006265728 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:42:46Z |
| institution | BVB |
| isbn | 0395110637 |
| language | English |
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| physical | IX, 356 S. graph. Darst. |
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| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Houghton Mifflin |
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| spelling | Blakeslee, David W. Verfasser aut Introductory statistics and probability a basis for decision making David W. Blakeslee ; William G. Chinn Boston [u.a.] Houghton Mifflin 1971 IX, 356 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Decision Making Mathematical statistics Probabilities Probability Statistical decision Statistics as Topic Statistik (DE-588)4056995-0 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Statistik (DE-588)4056995-0 s DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Chinn, William G. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003958551&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blakeslee, David W. Chinn, William G. Introductory statistics and probability a basis for decision making Decision Making Mathematical statistics Probabilities Probability Statistical decision Statistics as Topic Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4079013-7 |
| title | Introductory statistics and probability a basis for decision making |
| title_auth | Introductory statistics and probability a basis for decision making |
| title_exact_search | Introductory statistics and probability a basis for decision making |
| title_full | Introductory statistics and probability a basis for decision making David W. Blakeslee ; William G. Chinn |
| title_fullStr | Introductory statistics and probability a basis for decision making David W. Blakeslee ; William G. Chinn |
| title_full_unstemmed | Introductory statistics and probability a basis for decision making David W. Blakeslee ; William G. Chinn |
| title_short | Introductory statistics and probability |
| title_sort | introductory statistics and probability a basis for decision making |
| title_sub | a basis for decision making |
| topic | Decision Making Mathematical statistics Probabilities Probability Statistical decision Statistics as Topic Statistik (DE-588)4056995-0 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Decision Making Mathematical statistics Probabilities Probability Statistical decision Statistics as Topic Statistik Wahrscheinlichkeitstheorie |
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