A. Iduseri.

This study delves into the Gompertz distribution, a versatile probability distribution with applications in survival analysis, population dynamics, and reliability modeling. The research explores how its behavior is influenced by two crucial parameters, 'a' and "b,' and how variations in these parameters impact statistical properties. The analysis covers theoretical and sample-based metrics, providing insights into central tendency, spread, shape, and more through tables, graphs, and histograms. The results indicate that changes in 'a' and 'b' parameters systematically alter the distribution's characteristics, while sample size affects parameter estimations. This work equips readers with a deep understanding of the Gompertz distribution's dynamics, aiding informed decisions in practical applications across diverse fields.