Probability and statistical inference 8th edition solutions

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Book Details

This user-friendly introduction to the mathematics of probability and statistics (for readers with a background in calculus) uses numerous applications--drawn from biology, education, economics, engineering, environmental studies, exercise science, health science, manufacturing, opinion polls, psychology, sociology, and sports--to help explain and motivate the concepts. A review of selected mathematical techniques is included, and an accompanying CD-ROM contains many of the figures (many animated), and the data included in the examples and exercises (stored in both Minitab compatible format and ASCII). Empirical and Probability Distributions. Probability. Discrete Distributions. Continuous Distributions. Multivariable Distributions. Sampling Distribution Theory. Importance of Understanding Variability. Estimation. Tests of Statistical Hypotheses. Theory of Statistical Inference. Quality Improvement Through Statistical Methods. For anyone interested in the Mathematics of Probability and Statistics.

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Contents

Prefacev

1Probability1

1.1BasicConcepts..................... ...................1

1.2PropertiesofProbability........ ...........................2

1.3MethodsofEnumeration. ..................................3

1.4 ConditionalProbability............................... ....4

1.5IndependentEvents........................ .............6

1.6Bayes’sTheorem................. ......................7

2DiscreteDistributions11

2.1RandomVariablesofthe DiscreteType..........................11

2.2Mathematical Expectation.................................. 15

2.3TheMean,Variance,andStandardDeviation.......................16

2.4 BernoulliTrialsandtheBinomialDistribution......................19

2.5The Moment-GeneratingFunction.............................22

2.6 ThePoissonDistribution.............................. ....24

3ContinuousDistributions27

3.1Continuous-TypeData................. ...................27

3.2ExploratoryDataAnalysis.......... ........................30

3.3RandomVariablesoftheContinuous Type.........................37

3.4TheUniformandExponentialDistributions ........................45

3.5TheGammaandChi-SquareDistributions.. .......................48

3.6TheNormalDistribution...... .............................50

3.7AdditionalModels. ................................... ..54

4BivariateDistributions57

4.1BivariateDistributions..................... ...............57

4.2TheCorrelationCoefficient.............. ...................59

4.3ConditionalDistributions........... .......................61

4.4TheBivariateNormalDistribution.... .........................66

5DistributionsofFunctionsofRandom Variables69

5.1DistributionsofFunctionsofaRandomVariable.................... .69

5.2TransformationsofTwoRandomVariables....................... .71

5.3SeveralIndependentRandomVariables........................ ..74

5.4TheMoment-GeneratingFunctionTechnique..................... ..77

5.5RandomFunctionsAssociatedwithNormalDistributions................79

5.6TheCentral LimitTheorem................................. 82

5.7ApproximationsforDiscreteDistributions.........................84

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