•  #### The Statistics and Calculus with Python Workshop #### Overview of this book

Are you looking to start developing artificial intelligence applications? Do you need a refresher on key mathematical concepts? Full of engaging practical exercises, The Statistics and Calculus with Python Workshop will show you how to apply your understanding of advanced mathematics in the context of Python. The book begins by giving you a high-level overview of the libraries you'll use while performing statistics with Python. As you progress, you'll perform various mathematical tasks using the Python programming language, such as solving algebraic functions with Python starting with basic functions, and then working through transformations and solving equations. Later chapters in the book will cover statistics and calculus concepts and how to use them to solve problems and gain useful insights. Finally, you'll study differential equations with an emphasis on numerical methods and learn about algorithms that directly calculate values of functions. By the end of this book, you’ll have learned how to apply essential statistics and calculus concepts to develop robust Python applications that solve business challenges.
Preface 1. Fundamentals of Python  Free Chapter
2. Python's Main Tools for Statistics 3. Python's Statistical Toolbox 4. Functions and Algebra with Python 5. More Mathematics with Python 6. Matrices and Markov Chains with Python 7. Doing Basic Statistics with Python 8. Foundational Probability Concepts and Their Applications 9. Intermediate Statistics with Python 10. Foundational Calculus with Python 11. More Calculus with Python 12. Intermediate Calculus with Python Appendix # 8. Foundational Probability Concepts and Their Applications

Overview

By the end of this chapter, you will be familiar with basic and foundational concepts in probability theory. You'll learn how to use NumPy and SciPy modules to perform simulations and solve problems by calculating probabilities using simulations. This chapter also covers how to calculate the probabilities of events using simulations and theoretical probability distributions. Along with this, we'll conceptually define and use random variables included in the scipy.stats module. We will also understand the main characteristics of the normal distribution and calculate probabilities by computing the area under the curve of the probability distribution.