A recent initiative of the University aims to ensure the quality of spelling on the web pages of its different departments. Each department has a site and each site contains hundreds, if not thousands of pages. Data was collected by checking a sample of 50 pages for each of the 10 departments (A to J). A page was tabulated as "defective" if at least one spelling error was found. There was a total of 100 defective pages found, distributed as follows: [2 points] Determine the lower and upper control limits " Z=3 ". Note: Multiply proportions by 50 to obtain limits in Number of pages. [2 points] Determine which faculties are out of control