1.) Consider the Gaussian-shaped wave function, psi(x)= Ne-x3/2l2 where L is a measure of the width of the wave function in units of Angstroms. \text { You will need the

following integrals: } \int_{-\infty}^{\infty} \mathrm{e}^{-a x^{2}} d x=\sqrt{\pi / a} \quad \int_{-\infty}^{\infty} x^{n} \mathrm{e}^{-a x^{2}} d x=0 \text { for } n \text { odd } a) Normalize the wave function. Your answer should be in terms of L. c) Without evaluating any integrals, in which interval is the electron most likely to befound? \text { i) }-0.1 L