A particle is described by the normalized wave function (x, y, z) = Ae a(x2+y2+z2), where A

Question:

A particle is described by the normalized wave function ψ(x, y, z) = Ae –a(x2+y2+z2), where A and a are real, positive constants.
(a) Determine the probability of finding the particle at a distance between r and r + dr from the origin.
b) For what value of r does the probability in part (a) have its maximum value? Is this the same value of r for which |ψ (x, y, z)|2 is a maximum? Explain any differences.