Do not skip the short questions at the end of each chapter. They account for a significant portion of your exam grade and are excellent for quick morning-of-exam revisions.
: Most technical university libraries maintain extensive physical and digital copies of Dr. Singaravelu's higher education catalog.
| Chapter | Topic | |---------|-------| | 1 | Basic Probability – axioms, conditional probability, Bayes’ theorem | | 2 | Random Variables – discrete & continuous | | 3 | Probability Distributions – Binomial, Poisson, Normal, Exponential | | 4 | Mathematical Expectation – mean, variance, moments | | 5 | Joint Distributions – covariance, correlation | | 6 | Sampling Distributions – chi-square, t, F distributions | | 7 | Estimation – point and interval estimation | | 8 | Hypothesis Testing – z-test, t-test, chi-square test | | 9 | Regression and Correlation | | 10 | Analysis of Variance (ANOVA) | probability and statistics singaravelu pdf
If you prefer to read the book online, you can access the PDF version from the above link. The online version provides the same content as the PDF download, but you can access it directly from your browser.
Who should use it
: Correlation, regression analysis, and the principle of least squares.
Time is introduced as a factor, shifting the focus from static variables to dynamic, time-evolving systems. Do not skip the short questions at the end of each chapter
Binomial, Poisson, and Geometric distributions.
Strengths
Foundations of events, axioms, and basic probability laws [29].