Schaum's Outline of Probability and Statistics: 897 Solved Problems + 20 Videos

Description

Tough Test Questions? Missed Lectures? Not Enough Time? Fortunately, there's Schaum's. This all-in-one-package includes more than 750 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 20 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills. This Schaum's Outline gives you • 897 fully solved problems • Concise explanations of all course fundamentals • Information on conditional probability and independence, random variables, binominal and normal distributions, sampling distributions, and analysis of variance Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum’s to shorten your study time--and get your best test scores! Schaum's Outlines--Problem Solved. Contents......Page 6 Part I: Probability......Page 10 Sample Spaces......Page 12 Events......Page 13 Some Important Theorems on Probability......Page 14 Assignment of Probabilities......Page 15 Independent Events......Page 16 Fundamental Principle of Counting: Tree Diagrams......Page 17 Combinations......Page 18 Stirling’s Approximation to n!......Page 19 Discrete Probability Distributions......Page 43 Distribution Functions for Discrete Random Variables......Page 44 Continuous Random Variables......Page 45 Graphical Interpretations......Page 47 Joint Distributions......Page 48 Change of Variables......Page 50 Probability Distributions of Functions of Random Variables......Page 51 Conditional Distributions......Page 52 Applications to Geometric Probability......Page 53 Definition of Mathematical Expectation......Page 84 Some Theorems on Expectation......Page 85 The Variance and Standard Deviation......Page 86 Moments......Page 87 Some Theorems on Moment Generating Functions......Page 88 Characteristic Functions......Page 89 Variance for Joint Distributions. Covariance......Page 90 Conditional Expectation, Variance, and Moments......Page 91 Other Measures of Central Tendency......Page 92 Skewness and Kurtosis......Page 93 Some Properties of the Binomial Distribution......Page 117 The Normal Distribution......Page 118 Some Properties of the Normal Distribution......Page 119 Relation Between the Binomial and Poisson Distributions......Page 120 The Hypergeometric Distribution......Page 121 The Uniform Distribution......Page 122 The Beta Distribution......Page 123 Student’s t Distribution......Page 124 The F Distribution......Page 125 Miscellaneous Distributions......Page 126 Part II: Statistics......Page 160 Sampling With and Without Replacement......Page 162 Sample Statistics......Page 163 Sampling Distribution of Means......Page 164 Sampling Distribution of Proportions......Page 165 The Sample Variance......Page 166 Sampling Distribution of Variances......Page 167 Other Statistics......Page 168 Frequency Distributions......Page 169 Computation of Mean, Variance, and Moments for Grouped Data......Page 170 Confidence Interval Estimates of Population Parameters......Page 204 Confidence Intervals for Means......Page 205 Confidence Intervals for the Variance of a Normal Distribution......Page 206 Maximum Likelihood Estimates......Page 207 Type I and Type II Errors......Page 222 One-Tailed and Two-Tailed Tests......Page 223 P Value......Page 224 Special Tests of Significance for Large Samples......Page 225 Special Tests of Significance for Small Samples......Page 226 The Chi-Square Test for Goodness of Fit......Page 228 Yates’ Correction for Continuity......Page 230 Coefficient of Contingency......Page 231 Regression......Page 274 The Method of Least Squares......Page 275 The Least-Squares Line......Page 276 The Least-Squares Parabola......Page 277 Standard Error of Estimate......Page 278 The Linear Correlation Coefficient......Page 279 Rank Correlation......Page 280 Probability Interpretation of Regression......Page 281 Sampling Theory of Regression......Page 282 Correlation and Dependence......Page 283 One-Way Classification or One-Factor Experiments......Page 323 Linear Mathematical Model for Analysis of Variance......Page 324 Expected Values of the Variations......Page 325 Analysis of Variance Tables......Page 326 Notation for Two-Factor Experiments......Page 327 Variations for Two-Factor Experiments......Page 328 Analysis of Variance for Two-Factor Experiments......Page 329 Two-Factor Experiments with Replication......Page 330 Experimental Design......Page 332 The Sign Test......Page 357 The Mann–Whitney U Test......Page 358 The Runs Test for Randomness......Page 359 Further Applications of the Runs Test......Page 360 Spearman’s Rank Correlation......Page 361 Prior and Posterior Distributions......Page 381 Sampling From a Binomial Population......Page 384 Sampling From a Poisson Population......Page 385 Sampling From a Normal Population with Known Variance......Page 386 Improper Prior Distributions......Page 387 Conjugate Prior Distributions......Page 388 Bayesian Point Estimation......Page 389 Bayesian Interval Estimation......Page 391 Bayesian Hypothesis Tests......Page 392 Bayes Factors......Page 393 Bayesian Predictive Distributions......Page 395 The Gamma Function......Page 420 Special Integrals......Page 421 Appendix B: Ordinates y of the Standard Normal Curve at z......Page 422 Appendix C: Areas under the Standard Normal Curve from 0 to z......Page 423 Appendix D: Percentile Values for t[sub(p)] Student’s t Distribution with v Degrees of Freedom......Page 424 Appendix E: Percentile Values x[sup(2)][sub(p)] for the Chi-Square Distribution with v Degrees of Freedom......Page 425 Appendix F: 95th and 99th Percentile Values for the F Distribution with v1, v2 Degrees of Freedom......Page 426 Appendix H: Random Numbers......Page 428 E......Page 429 P......Page 430 Z......Page 431 L......Page 432 W......Page 433