ross-prob-stat-sol

This document is a solutions manual to accompany Ross, Sheldon M. Introduction to Probability and Statistics for Engineers and Scientists. Elsevier, 2014.

All solutions are based on the author's definitions, assuming that all theorems, including lemmas and corollaries, and examples covered in the text can be cited without proof. If one quotes a proposition introduced in another exercise, see the solution to that problem for proof.

This paper is unofficial and might still contain some errors, although I have worked on minimizing them. You can contribute to it via my email. All reports and suggestions are welcome.

Solved Exercises

1. Introduction to Statistics
2. Descriptive Statistics
   2.11, 2.14, 2.18
3. Elements of Probability
   3.2, 3.11, 3.30, 3.47, 3.50
4. Random Variables and Expectation
   4.5, 4.7, 4.11, 4.13, 4.16, 4.20, 4.25, 4.29, 4.40, 4.45, 4.49, 4.50, 4.54, 4.56
5. Special Random Variables
   5.1, 5.5, 5.10, 5.11, 5.12, 5.17, 5.20, 5.21, 5.27, 5.29, 5.30, 5.37, 5.41
6. Distributions of Sampling Statistics
   6.4, 6.20
7. Parameter Estimation
   7.1, 7.5, 7.9, 7.18, 7.26, 7.38, 7.39, 7.41, 7.44, 7.55, 7.63
8. Hypothesis Testing
   8.2, 8.5, 8.10, 8.14, 8.20, 8.29, 8.31, 8.44, 8.45, 8.50, 8.60, 8.63, 8.64, 8.68, 8.71
9. Regression
   9.1, 9.8, 9.10, 9.26, 9.30, 9.32, 9.47, 9.50
10. Analysis of Variance
    10.3, 10.6, 10.8, 10.12, 10.13, 10.16