In a classical harmonic oscillator, a particle with energy E moves (oscillates) in the "classically allowed region": \(|x| <= \sqrt{\frac{2E} m\omega^{2}}}\)
the amplitude of the oscillation. Find the probability (evaluate the probability numerically to four significant digits) that the particle in the ground state of the quantum harmonic oscillator is outside of the classically allowed region for a particle with equal energy.
Hint: look up the "error function"erf(x), and/or the "complimentary error function" cerf(x).