The increasing prevalence of affordable smart handheld devices and the expanding access to Internet connectivity in both urban and rural areas have fostered the rapid advancement of Video-on-Demand (VoD) streaming. However, accurately assessing the Quality of User Experience (QoUX) attributes for a VoD system remains a complex challenge. The dynamic and non-uniform nature of the Internet introduces significant unpredictability, compounded by the stochastic behavior of VCR actions, such as jumps, rewinds, stops, and pauses. To address these complexities, this paper presents a formal model for analyzing the QoUX performance of a multimedia e-commerce-focused VoD system. Employing the Continuous Time Markov Chain (CTMC) methodology and the PRISM model checker, we evaluate critical metrics such as throughput, latency, jitter, error rate, and the probability of user video rejection to ensure an enhanced user experience. Moreover, this study compares our findings with industry benchmarks, predicting thresholds for 5% packet loss and 5-second latency within the VoD system. We demonstrate that formal methods can effectively analyze complex VoD systems at the desired abstraction levels, akin to other measurement approaches in e-commerce, without the need for elaborate simulations, prototypes, and proofs-of-concept. By emphasizing trusted computing principles, this research underscores the potential for enhancing personalization and contextualization in e-commerce, ensuring an immersive and seamless user experience in the realm of multimedia commerce.