3. Consider a box of length L. (a) Determine the probability of finding a particle in the region between 0.25L and 0.50L for n=1 and n=2. Draw a graph of 2 vs x and depict the area under the curve in each case. Do the areas agree visually with your numerical values? (b) Calculate the expection value of the momentum, p, for the n=1 state. How do you explain your result