2. Particles have a wavefunction =(3.0+1.2i)+(1.21.2i), which includes the spin up eigenfunction, , and the spin down eigenfunction, . a. (3 pts) If an experimentalist measures the spin of 2500 particles, how many spin up particles could he or she expect? b. (2 pts) The following operators give the z-axis component of the spin angular momentum. With the same wavefunction, what is the expectation value of the z-axis component of the spin angular momentum operator, L2> ? L^z=2L^z=2