3. Consider the harmonic oscillator quantum state with the wave function 1 \\/ Where $003), 1($) and 2($) are taken as real7 normalized eigenfunctions of the har Wt}:7 t) : [w0(x)eiiEot/h _+_ $1 (1,)eiiE1t/h + w2($)eiiE2t/h] monic oscillator with energy E0, E1, and E2, respectively. (a) What is the expectation value of the energy? (b) What is the uncertainty in the energy? (c) If one does a single energy measurement, what is the probability of nding the oscillator in the ground state? in the third excited state