Density of distribution of light intensity in the case of absorbing clouds

In this article we consider a generalization of the Ambartsumyan's model on the absorption of light in the interstellar space for the case when there are $n$ types of absorbing clouds uniformly distributed in the equatorial plane of the Galaxy and having different optical transparencies. It is also supposed that the number of clouds having a preassigned transparency and located in a preassigned direction of the equatorial plane to the distance $s$ from an observer is a random function and for every fixed $s$ has Poisson distribution.