Consider the two-state problems we have discussed in the lecture. Accordingly, the system can be found in two well-separated states, A1 and A2. Each state has its own probability. Derive the below expression for the average value of a measurement, A, by showing your steps explicitly. A=iAiPi=A1P1+A2P2=1+KA1+1+KA2K Next, derive the expression for P1 as a function of ,A1, and A2. Interpret this expression in a system of your choice (except the one that we used in the lecture)