Problem: Find probabilities from the pdf

Problem

\(X\) is a continuous random variable with probability density function \(f\left( x \right)=3x^2\) for \(0≤x≤1\) ( \(f\left( x \right)=0\) otherwise).

1. Find \(P(X<1/2)\)
2. Find \(F(1/2)\)
3. Find \(P(X>1/2)\)