4. We now have a complete theory of spin-1, which means we can nally so some interesting experiments with those photons. Suppose you arrange your apparatus to prepare the photons in the state IV) = ID 3|\") + Zil 1)' - You prepare 1000 photons this way, and measure their spin component 5;. What values do you measure, and how many photons of the 1000 yield each result? - You collect all the photons that had mesaurements of $2 = 41. You then measure 3x on those; what do you get, and what is the number of photons [or each possible result? . If, on the original set of 1000 photons, you had instead measured 55., what would have been the average (Le, expectation value) of all results