quantum effects

A certain liquid at room temperature (295 K) has Avogadro’s number of molecules, each having a certain magnetic moment. Owing to quantum effects, there can be only three possible orientations of this magnetic moment, the component along any one direction being equal to (1, 0, -1)µB (µB is the Bohr magneton and equals 9.3 × 10-24 J/T.) The interaction energy between a magnetic moment and an external magnetic field is given by E = -µ · B. In an external field of 2 tesla, find
(a) the value of ßµB B (ß = 1/kT ),
(b) the respective probabilities that a molecule is in each of the three possible alignments,
(c) the average magnetic moment per molecule,
(d) the magnetic moment of the entire liquid.