Thanks for the suggestions but unfortunately the poisson-binomial distribution [1] is not a simple combination of those two distributions. It requires of specia

Thanks for the suggestions but unfortunately the poisson-binomial distribution [1] is not a simple combination of those two distributions. It requires of specialized packages like PoissonBinomial[2] in R. [1]https://en.wikipedia.org/wiki/Poisson_binomial_distribution https://en.wikipedia.org/wiki/Poisson_binomial_distribution [2]https://cran.r-project.org/web/packages/PoissonBinomial/index.html https://cran.r-project.org/web/packages/PoissonBinomial/inde...