The textbook "Real-Time Applications with Stochastic Task Execution Times" offers a comprehensive analysis of the deadline miss ratio of applications with stochastic execution times. It presents three different approaches, each optimized for various contexts. The first approach is exact and particularly well-suited for single-processor systems. The second approach is approximate and allows for a controlled trade-off between analysis accuracy and speed, making it efficient for multi-processor systems. The third approach is less precise but sufficiently fast to be integrated into optimization loops. Based on this approach, a heuristic for task distribution and priority setting is proposed to minimize the deadline miss ratio. This book is aimed at professionals and students in the fields of engineering and IT who are involved in the analysis and optimization of real-time applications.