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In this paper, we study the stress–strength reliability of a failure profile in which, the components of the system are affected by the internal environmental factors. The internal environmental factors commonly change the random strength of a failure profile and have different effects on the random strength of profile components. Throughout this study, we investigated the effect of internal environmental factors under the various scenarios and computed the stress–strength reliability of a failure profile of order [Formula: see text]. Particularly, the stress–strength reliability of a [Formula: see text]-out-of-[Formula: see text] system has been evaluated based on several stochastic orders. In addition, the sensitivity analysis of the stress–strength reliability and the mean cost rate of failure profiles have been performed in the exponential model.