🐍 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 — Continuous
Exponential, Normal distributions, and the Central Limit Theorem
Pricing (per student)
Prerequisites
- Completion of Probability Distributions — Discrete (or equivalent)
- Understanding of calculus (integration)
Overview
Covers continuous probability distributions — Exponential and Normal — and introduces the Central Limit Theorem. Students learn to evaluate probabilities using PDF integration and practise engineering applications involving measurement errors and manufacturing tolerances.
Topics
| Hour | Topic | Details |
|---|---|---|
| 1 | Continuous Random Variables | Definition and probability density function (PDF). |
| 2 | Expected Value & Variance | Calculation and properties for continuous distributions. |
| 3 | Exponential Distribution | Definition, PDF, mean, variance, and examples. |
| 4 | Problem-Solving (Exponential) | Solving problems (Article 26.16). |
| 5 | Normal Distribution | Definition, PDF, mean, variance, and standard normal. |
| 6 | Problem-Solving (Normal) | Solving problems (Article 26.19). |
| 7 | Central Limit Theorem | Concept, significance, and worked examples. |
| 8 | Engineering Applications | Measurement errors and manufacturing tolerances. |
| 9 | Additional Problem-Solving | Mixed practice from both distributions. |
| 10 | Recap & Doubt Clearing | Revision and timed Q&A session. |
Expected Outcomes
- Understand continuous random variables and their distributions.
- Solve Exponential and Normal distribution problems confidently.
- Apply the Central Limit Theorem in practical scenarios.