Partial Differential Equations

This section introduces random variables, explaining both discrete and continuous forms, alongside their associated probability functions and statistics.

Random Variables: Definition

Random Variables are numerical outcomes of random experiments, classified as discrete or continuous.

Discrete Random Variables

This section introduces discrete random variables, including their definitions, probability mass functions, and basic properties like expectation and variance.

Continuous Random Variables

This section introduces continuous random variables, their properties, and essential functions used to describe them.

Examples And Applications

This section discusses examples and applications of discrete and continuous random variables, including their expectations and variances.

Comparison Table

This section provides a succinct comparison between discrete and continuous random variables, highlighting their key features and differences.

Summary

This section introduces the importance of random variables in modeling uncertainty in engineering and applied sciences.

Further Reading

This section provides guidelines for additional resources to deepen understanding of Random Variables, including key textbooks and recommended readings.