Disassembly planning and inventory management are important for businesses to provide customers with used components at competitive prices. To achieve this objective, one of the planners' priorities is to reduce the expected level of inventory in an uncertain environment. This study deals with a single-period disassembly to-order problem with known and fixed demand for components. The disassembly lead time for each component is an independent discrete random variable whose probability distributions are known and bounded. A mathematical model is suggested to determine the disassembly order for the end-of-life product and to calculate the expected total cost. Newsboy formulae for optimal disassembly order determination that minimizes the expected total cost is developed.