Chapter 2.  Math3081Chapter2Notes

2.2 Sample Spaces and the Algebra of Sets

2.3 The Probability Function

2.4 Conditional Probability

2.5 Independence

2.6 Combinatorics

 Chapter 3. Math3081Chapter3 Notes

3.2 Binomial Probabilities

3.3Discrete Random Variables

3.4Continuous Random Variables

3.5 Expected Values

3.6 The Variance

3.7 Joint Densities

3.9 Further Properties of the Mean and Variance

4.2 The Poisson Distribution Math3081Sec4.2

4.3 The Normal Distribution Math3081Sec4.3

5.2 Estimating Parameters Math3081Sec5.2

5.3 Interval Estimation Math3081Sec5.3

5.4Properties of Estimators Math3081Sec5.4

6.2 Hypothesis tests Math3081Sec6.2

6.3 Testing Binomial Data Math3081Sec6.3

6.4 Type I and Type II Errors Math3081Sec6.4

7.2 The t-distribution Math3081Sec7.234

7.3 Deriving the t-distribution

7.4 Drawing Inferences about μ

7.5 Drawing Inferences about σ^2 Math3081Sec7.5,9.3

9.2 Testing H_0: μ_X= μ_Y Math3081Sec9.245

9.3 Binomial Data: Testing H_0: p_X= p_Y

9.4 The F test

An Introduction to Mathematical Statistics and its Applications”, R. Larsen and M. Marx, 6th edition. published by Pearson.