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The growing need for providing real-time system designers with less pessimistic results than the ones given by traditional worst-case analysis motivates several recent works on stochastic analysis methods. This paper deals with the calculation of stochastic response time profiles of tasks that are hierarchically scheduled using server-based techniques in a stochastic analysis framework. Depending on how tasks are scheduled within the server, differences in temporal performance are expected. In the paper, initial results on calculating the response time profiles for these server-scheduled tasks are outlined.