Probability theory / Jayden Powell.

Includes bibliographical references and index.

Introduction -- Sample space in probability theory -- Random variables -- Special and probability distributions -- Mathematical expectation and probability -- Descriptive statistics.

"Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance. A random experiment, in probability theory, can be defined as a trial that is repeated multiple times in order to get a well-defined set of possible outcomes. Tossing a coin is an example of a random experiment. Probability theory makes use of some fundamentals such as sample space, probability distributions, random variables, etc. to find the likelihood of occurrence of an event. Probability theory makes the use of random variables and probability distributions to assess uncertain situations mathematically. In probability theory, the concept of probability is used to assign a numerical description to the likelihood of occurrence of an event. Probability can be defined as the number of favorable outcomes divided by the total number of possible outcomes of an event. Probability theory is a branch of mathematics that provides a rigorous framework for quantifying uncertainty and reasoning about random events. At its core, probability theory seeks to model and analyze situations involving chance or randomness, where the outcome is uncertain. This field is essential in various disciplines, including statistics, finance, physics, and computer science, offering tools for making informed decisions in the presence of uncertainty. This book probability theory abound in real-world scenarios. In statistics, it forms the foundation for hypothesis testing, regression analysis, and experimental design. In finance, it is instrumental in risk management and option pricing. The interdisciplinary nature of probability theory underscores its importance in addressing uncertainty across diverse fields." -- Back cover