LuPdBi, a ternary half-Heusler compound, is superconducting at 1.7 K and has an upper critical field of 2.2 T. Specific heat data suggests that superconductivity of LuPdBi is fully gapped with possibly unconventional pairing character. Crystal structure of LuPdBi is non-centrosymmetric. The presence of Pd and Bi in this compound favors strong spin orbit coupling due to the heavy mass of the atomic constituents. The missing inversion symmetry along with strong spin orbit coupling make this material an ideal candidate to study for TRS breaking superconductivity. Here we propose to investigate the magnetic and superconducting properties of LuPdBi using mSR technique. We propose to search for time-reversal symmetry breaking fields by ZF-µSR and pairing symmetry by TF-µSR measurements of LuPdBi. We ask for 5 days of MuSR beamtime for this project.