Mixtures of Normal Distributions: Application to Diving Suit Fitting

Abstract

In this paper, a mixture of normal distributions is performed to analyze the characteristics of population data in Jeddah, Saudi Arabia, to accommodate the diving suits fitting for consumers. It is not easy to collect consumers’ data since it takes time and effort as well as cost a lot. For such a business, the order quantity is financially critical because diving suits sizes are different from a location to another, which based on population data. In fact, the business cannot rely on one factor, whether the weight or height of the consumer to find the best fit size, both are needed. Thus, a random sample represents the whole population of the city of Jeddah with acceptable error is generated. Then a mixture distribution was applied for the generated data of all factors (weight & height) to solved the issues and improved the order quantity to serve the consumers better as well as minimize cost and increase the profit of the business.