Suppose I am working on the factory line as in problem 1, but a new policyhas been implemented such that I don’t send them back until I have found4 items that need to be re-worked. I then box up those 4 and take them tothe re-work station. This policy might have been implemented to minimizetravel time between the re-work stations and the quality control stations. LetXbe the number of items I check until I find the 4th item that needs to be reworked. What is the distribution ofX?Give the name of the distribution and theappropriate parameters. What is the mean and variance of this distribution? Give your answer as a number, but include the formulas (or logic) used. Supposing I start every shift with no items needing to be re-worked, what is theprobability I that I do not take a load of items to be reworked during a shift? i. ewhat is P(X >25)? Computer software or a spreadsheet is recommended for this. What is the probability I send a shipment of 4 back after checking exactly 25 items?