Abstract The compound probability distributions that used to estimate aggregate claims are one of the basic tools used by actuaries to estimating the insurance price, and the process of fitting probability distribution adjustment actual data is a problem due to the nature of the claims data which is heavy tailed on the right. On the other hand, the railways is one of the most reliable means of transportation it providing passenger and cargo transport services for the purposes of economic development. The railways can transport large quantities of goods at a low cost. This study deals with an analysis of the risks of transported goods and attempts to build a quantitative model to be used in the pricing of compound risks , and attempt to price compound risk with adequate and fair price