Assume that you are a quality inspector for a manufatcuring company. Every day you take a random sample of 10 parts (items) of finished products and inpsect the items to see if there is any defective item. If you found any defective item, then you send it to the rework station for recovery.
Based on the past historical data, we know that there is 15% chance that an item to be defective. There is a rework cost associated with each defective item. The reowk cost is following Uniform distribution with parameters of $30 and $50.
Rework Cost ~ Uniform [30, 50]
What is the total cost of reworks for a random sample of 10 parts?