Unit-4 One Shot | 🎲 Random Variables, Expected Value & Probability Distributions 🔥| Mohit Chauhan

Welcome back learners! 👋
In this One Shot Marathon Lecture 🎥 We have to complete Unit-4 of Maths-4 (B.Tech) — in one shot with full conceptual clarity + solved examples 🤩💯

🔹 📌 Topics Covered in This One Shot:
1️⃣ Random Variables & Types

Random Experiments

Discrete & Continuous Random Variables

Real-life Meaning & Intuition ✨

2️⃣ Probability Functions

PMF (Probability Mass Function) — Discrete cases with examples 🎯

PDF (Probability Density Function) — Continuous cases with visual understanding 📊

CDF (Cumulative Distribution Function)

3️⃣ Expected Value (Mathematical Expectation)

Meaning & Interpretation

Properties

Expected Value for Discrete & Continuous Variables

Based Numerical Examples 🔢

4️⃣ Important Distributions (With Solved Questions)

📍 Binomial Distribution

Meaning, Parameters, Formula

Mean & Variance

Based Numerical Problems

📍 Poisson Distribution

Derivation as a limit of Binomial

Real-life applications (calls, accidents etc.)

Solved Numerical Examples

📍 Normal Distribution

Bell Curve Intuition

Standard Normal Distribution (Z-Score)

Probability Calculations using Z-Table

Example Problems
💯🔥💯🔥

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