The normalized wave functions \(\psi_1\) and \(\psi_2\) correspond to the ground state and the first excited state of a particle in a potential. The operator \(\hat{A}\) acts on the wave functions as \(\hat{A}\psi_1 = \psi_2\) and \(\hat{A}\psi_2 = \psi_1\). The expectation value of the operator \(\hat{A}\) for the state \(\psi = (3\psi_1 + 4\psi_2)/5\) is: