The article introduces the concept of solving problems related to modeling random variables. It discusses how to determine the parameters of a distribution for a one-dimensional continuous random variable based on its initial characteristics. The researchers provide explicit solutions for various types of distributions, such as normal, exponential, and gamma distributions. They also describe a method for solving the inverse problem for specific distributions like Weibull and Nakagami, using regression equations to link distribution parameters with initial characteristics of the random variable.