Problem: Expected value and variance of a continuous random variable

Problem

\(X\) is a continuous random variable, \(f\left( x \right)=1\) for \(0≤x≤1\) ( \(f\left( x \right)=0 \) o.w.).

  1. Find \(E(X)\)
  2. Find \(Var(X)\)
  3. Find \(SD(X)\)

Solution