please explain every question in detail. And provide a plot for question f.

1) Consider the following wavefunction: (x)=Aex with A, being real numbers greater than zero. The domain of the function, D, is all real numbers i.e., D:(,) a) Normalize this wavefunction. (5 pts) b) Determine the expectation value of x. (5 pts) c) Determine the expectation value of x2(5pts) d) Determine the expectation value of momentum, p. (5 pts) e) If the variance is defined as 2=x2x2, calculate the standard deviation in position . (5 pts) f) Plot (or sketch) the wavefunction with labeled axes. Indicate where the positions x+ and x are on the x-axis. (5 pts)