A particle is described by the normalized wave function (x, y, z) = Axe-ax2 e -y2 e-yz2', where A, a, , and are all real,

A particle is described by the normalized wave function ψ(x, y, z) = Axe-ax2 e -βy2 e-yz2', where A, a, β, and γ are all real, positive constants. The probability that the particle will be found in the infinitesimal volume dx dy dz centered at the point (x0, y0, z0) is | ψ (x0, y0, z0)|2 dx dy dz.
(a) At what value of x0 is the particle most likely to be found?
(b) Are there values of x0 for which the probability of the particle being found is zero If so, at what x0?