 This paper proposes a new bivariate lifetime distribution called the BFGM PLX, which is based on the Farley-Gumbel Morgenstern, FGM, Copula and Univariate Power Lomax distribution. This distribution has several desirable features, including conditional distributions, conditional expectations, marginal distributions, moment generating functions, product moments, positive quadrant dependence property, and Pearson's correlation. Furthermore, the reliability measures, such as the survival function, hazard rate function, mean residual life function, and vitality function, are also discussed. The parameters of the model can be estimated using maximum likelihood and Bayesian methods. Monte Carlo simulations are used to compare the performance of the two estimation methods. This article was authored by Maha Ikhara, Aisha Faomi, Machua Kalai, and others.