This paper highlights the importance of reliable uncertainty quantification for the reliability of machine learning applications. Inductive Conformal Prediction (ICP) provides a distribution-free framework for generating prediction sets or intervals with user-specified confidence levels, but standard ICP guarantees are limited and typically require a new calibration set for each new prediction to maintain validity. This paper addresses these practical limitations by demonstrating that a single calibration set can be repeatedly used with high probability to maintain the desired coverage using e-conformal prediction in conjunction with Hoeffding’s inequality. Using a case study on the CIFAR-10 dataset, we train a deep neural network and estimate the Hoeffding correction using the calibration set. This correction allows us to construct a set of predictions with quantifiable confidence by applying a modified Markov’s inequality. The results demonstrate the feasibility of maintaining demonstrable performance while improving the practicality of conformal prediction by reducing the need for repeated calibration. The code for this study is publicly available.