The probability of detecting a particle with a normalized wave function ψ(y) within the limits of y and y + dy is given by (|ψ|²)dy. The normalized wave function for a particle in a box with boundaries at y = 0 and y = L is ψ_n(y)=√(2/L)•sin⁡[(nπy/L)]. The possible values of n are n = 1,2,3... Assuming the particle to be in the ground state, i) At which values of y in the range 0 ≤ y ≤ L the particle is impossible to be found? ii) At which values of y within the boundary the particle is most likely to be found? iii) Do your values agree or differ with these curves?