Is the function (x) = A( y/b)[1 ( y/b)] an acceptable wave function for the particle in the one-dimensional infinite depth box of

Is the function ψ (x) = A( y/b)[1 − ( y/b)] an acceptable wave function for the particle in the one-dimensional infinite depth box of length b? Calculate the normalization constant A and the expectation values 〈 y〉 and〈 y²〉.