Problem 2. A product's demand in each period follows a normal distribution with a mean of 80 and a standard deviation of 10. The lead time for this product is 3 periods. The order-up-to level is 250. What is the expected on-order inventory? What is the expected on-hand inventory? What is the probability of stock-out (please only fill in the number, for example, fill in 0.15 for 15%, please include the zero before the decimal point)? To make sure there is only % of chance of running out of stock, what should be the order-up-to inventory level (Choose a larger number if there is no exact number in the table)? For the order-up-to level from Question d, what is the expected on-order inventory? For the order-up-to level from Question d, what is the expected on-hand inventory?