In this paper, we obtain the mixture representations for the extropy of a mixed used system and the extropy of the inactivity time of a system. These representations demonstrate the extropy of conditional mixed systems as a mixture of a conditional coefficients vector, left (or right) truncated beta distribution, and the baseline distribution of the system components. Based on these representations, the comparisons of the extropy of conditional mixed systems are carried out with respect to the stochastic orders and stochastically ordered conditional coefficients vector between systems. Moreover, some bounds for the extropy of theses systems are derived. The utility of these representations is illustrated in two examples in which the extropy of a mixed used system and the extropy of the inactivity time of a system are computed and compared.

在本文中，我们获得了混合使用系统的外向性和系统不活动时间的外向性的混合表示。这些表示法证明了条件混合系统的外在性，它是条件系数矢量，左（或右）截断的beta分布以及系统组件的基线分布的混合物。基于这些表示，对系统之间的随机阶次和随机排序的条件系数向量进行了条件混合系统外向性的比较。此外，推导了这些系统的外向性的一些界线。在两个示例中说明了这些表示的效用，其中计算并比较了混合使用系统的外在性和系统不活动时间的外在性。