How to calculate the CDF of continuous random variable| Solved Example - 2

In this video, we solve a complete example on Continuous Random Variables and learn how to find the CDF (Cumulative Distribution Function) step by step. We are given a probability density function (PDF) as: f(x) = { kx, 0 ≤ x ≤ 1 k, 1 ≤ x ≤ 2 -kx + 3k, 2 ≤ x ≤ 3 0, elsewhere } We will: 1️⃣ Determine the constant k so that f(x) is a valid probability density function (PDF) 2️⃣ Find the Cumulative Distribution Function (CDF), F(x) 3️⃣ Understand how to integrate piecewise functions to form the CDF 💡 This example helps you understand: How to normalize a PDF to find the constant k How to derive CDF from a piecewise PDF How to interpret continuous random variable problems 📘 Topics covered: Probability Density Function (PDF) Cumulative Distribution Function (CDF) Continuous Random Variable Integration in Probability 🔔 Subscribe for more solved examples and statistics tutorials! #Probability #Statistics #PDF #CDF #ContinuousRandomVariable #MathTutorial #SolvedExample