Definition A continuous random variable can take any value within a given range. It is measurable and represents quantities that can vary smoothly.
Examples - Height of students - Time taken to finish a race - Temperature throughout the day
Graph Illustration The probability distribution of a continuous random variable is represented by a smooth curve called the probability density function (PDF). Example: Normal distribution curve for students’ heights.
Summary • Takes infinitely many values in a range • Represented by probability density function (PDF) • Example: height, weight, time, temperature