Abstract: Statistical distributions pose importance usefulness in predicting and analyzing real life occurrences. Several researchers have applied different statistical distributions in analyzing real life data. Therefore, this study focused on applying the newly developed Exponential-Gamma distribution in modeling data on the number of successive failures of air conditioning system of each member in a fleet of 13 Boeing 720 jet airplanes. The result of the performance and adequacy of the Exponential-Gamma distribution was compared with other existing statistical distribution. The result showed that Exponential-Gamma distribution is adequate and fits data better than other exiting distribution compared.