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

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