3. An electron is in a spin state, whose wavefunction in the S eigenbasis is A (+1) 2i a. Calculate the normalization factor A? b. If we measure S on this electron, what values will you get and what are their corresponding probability? Also calculate the expectation value and uncertainty for the S operator. c. Answer the same questions as in part b for Sx and Sy respectively. d. Show that the uncertainty product of Sx and Sy satisfies the generalized uncertainty principle.