Probability Laws Course
Master Poisson processes, exponential waiting times, CLT, and alternative count models using real ER arrival data. Gain skills in diagnostics, simulation, and clear reporting to create reliable, transparent probability models for professional statistical analysis in operational settings.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides practical tools for modelling arrivals and waiting times, focusing on emergency room data. You will learn Poisson and alternative count models, exponential and advanced waiting-time distributions, applications of the Law of Large Numbers and Central Limit Theorem, simulation techniques, bootstrapping methods, and diagnostic checks. Develop skills to build transparent, reproducible analyses, evaluate assumptions, compare models, and communicate uncertainty effectively for informed real-world decisions.
Elevify advantages
Develop skills
- Poisson and count modelling: build, diagnose, and refine ER arrival models quickly.
- Waiting-time modelling: fit exponential and other distributions to real ER delay data.
- CLT and LLN for operations: quantify ER averages, risks, and tail probabilities.
- Simulation and bootstrap: run quick Monte Carlo checks and small-sample intervals.
- Model validation and reporting: test assumptions and write clear, defensible results.
Suggested summary
Before starting, you can change the chapters and workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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