1. The problem statement, all variables and given/known data For the n = 1 harmonic oscillator wave function, find the probability p that, in an experiment which measures position, the particle will be found within a distance d = (mk)-1/4√ħ/2 of the origin. (Hint: Assume that the value of the integral α = ∫01/2 x2e-x2/2 dx is known and express your result as a function of α) 2. Relevant equations distance from 0 to d; d = (mk)-1/4√ħ/2 Normalize condition: Cn = 1/ (π2√2nn!) Harmonic Oscillator wave function for n = 1 ψ1 = C1(2s)e-s2/2 Probability density ∫ψn(x)*ψ(x) s = (km)1/4/ħ1/2 x 3. The attempt at a solution I first plugged in s and normalized condition into the harmonic oscillator wave function. ψ(s) = (km/π)1/42x/√2ħ e-√(km)x2/2ħ ∫ψ(s)*ψ(s) ? I'm not sure if this is the right approach to tackling this problem.