Pure and mixed spin states For the mixed state defined in Question 5, find the ensemble average S. for the z-component of spin. Express your answer in terms of imaginary unit , constant pi and reduced Planck's constant, hbar. Note that your answer does not have to include all of these variables.Pure and mixed spin states Use the following information for Questions 1-7: Consider an electron in a pure spin state composed of an equal superposition of sa + ) and sy +). That is, the spin state can be expressed as 1x) = a(/set) + (sy+)) where sx+) and sy+) are the eigenstates of S, and Sy operators with eigenvalues + 5, respectively.This time, let us consider a maxed spin state in which the electrons have equal probabilities of being in the pure states |S$+:} and |sy+}