Science:Math Exam Resources/Courses/MATH101 B/April 2025/Question 03 (a)/Statement

A continuous random variable $X$ has probability density function (PDF) $$\begin{array}{r}f(x)=\{\begin{array}{ll}2x& \text{if}0\le x\le 1,\\ 0& \text{otherwise}.\end{array}\end{array}$$ Imagine the trial being repeated many times. In what percentage of trials do you expect to find $X\le \frac{1}{2}$? (Make sure to give your answer as a percentage, i.e. a number between $0$ and $100$.)