Consider the wavefunction V(x, t) = Aexp[-X x]exp[-iwt], where A, A, and w are positive real constants. (a) Normalize V(x, t). (b) Determine the expectation values of r and a?. (c) Find the standard deviation o of r. Plot the graph of |V(r, t) - as a function of r using A = 1 and mark the points ((x) +o) and ((x) - o) as the spread of a. Use Python with NumPy and Matplotlib for this. (d) What is the probability that the particle can be found outside of the region between ((x) - o) and ((x) + 0)