Abstract
In this article, contrary to what is known previously, a randomized dusty plasma model is introduced. In this new issue, the uncertain properties of the plasma nonlinear system are assumed as continuous random variables. Hence, a comprehensive probabilistic behavior of the interesting characteristics of the dusty plasma wave is presented through computing the first probability density functions and consequently the means, the variances and the confidence intervals. For this goal, a probabilistic transformational technique that is known as the random variable transformation is implemented. The obtained theoretical findings are investigated via some numerical results that showed acceptable consistency with the physical situations.