🐍 Python
From zero to full-stack Python — practical, exam-oriented courses for every level
🧠 AI & Neural Networks
ANN foundations through deep learning, competitive programming, and a full capstone project
∫ Complex Analysis
Complex functions, Cauchy-Riemann equations, conformal mappings, and contour integration
📊 Probability & Statistics
Distributions, curve fitting, regression, and hypothesis testing — all exam-oriented
Probability Distributions — Discrete
Binomial and Poisson distributions with engineering applications
Pricing (per student)
Prerequisites
- Basic probability theory
- Knowledge of combinatorics
Overview
Introduces discrete probability distributions — Binomial and Poisson — with clear derivations, worked examples, and real-world engineering applications. Students learn when to use each distribution and practise solving exam-style problems.
Topics
| Hour | Topic | Details |
|---|---|---|
| 1 | Discrete Random Variables | Definition and probability mass function (PMF). |
| 2 | Expected Value & Variance | Calculation and properties for discrete distributions. |
| 3 | Binomial Distribution | Definition, PMF, mean, variance, and examples. |
| 4 | Problem-Solving (Binomial) | Solving problems (Article 26.13, 26.14). |
| 5 | Poisson Distribution | Definition, PMF, mean, variance, and examples. |
| 6 | Problem-Solving (Poisson) | Solving problems (Article 26.15). |
| 7 | Binomial vs. Poisson | When to use each — comparison with examples. |
| 8 | Engineering Applications | Quality control, queuing theory, and reliability. |
| 9 | Additional Problem-Solving | Mixed practice problems from both distributions. |
| 10 | Recap & Doubt Clearing | Revision and timed Q&A session. |
Expected Outcomes
- Understand discrete random variables and their distributions.
- Solve Binomial and Poisson distribution problems confidently.
- Apply discrete distributions to real-world engineering scenarios.