A quantum particle in an infinitely deep square well has a wave function given by psi_{2}(x) = sqrt(2/L) * sin((2pi*x)/L) for 0 <= x <= L and zero otherwise. (a) Determine the expectation value of x. (b) Determine the probability of finding the particle near L by calculating the prob- ability that the particle lies in the range 0.490L <= x \le 0.510L. (c) What If? Determine the probability of find- ing the particle near I. by calculating the probability that the particle lies in the range 0.240L x 0.260L