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Deterministic models for coverage time evaluation of Low Earth Orbit (LEO) satellites constituting a mobile satellite network may tend to unreliable results due to arbitrary locations of mobile users within the satellite coverage area. This inevitable phenomenon necessitates a statistical model for coverage time assessment of LEO satellite networks. In this letter, we propose a novel approach for effective analysis of coverage times during LEO satellite visits. The analysis is particularly useful for probabilistic investigation of intersatellite handovers in LEO satellite networks and also in designing mobile satellite systems.