Chapter 5 Probability Distribution pany Case: Performance Lawn Equipment PLE collects a variety of data from special studies, many of which are related to the quality of its products. The com- collects data about functional test performance of its mowers after assembly, results from the past 30 days are given in the worksheet Mower Test. In addition, many in- process measurements are taken to ensure that manufactur- ing processes remain in control and can produce according to design specifications. The worksheet Blade Weight shows 350 measurements of blade weights taken from the manu- facturing process that produces mower blades during the most recent shift. Elizabeth Burke has asked you to study these data from an analytics perspective. Drawing upon your experience, you have developed a number of questions. 1. For the mower test data, what distribution might be ap- propriate to model the failure of an individual mower? 2. What fraction of mowers fails the functional perfor- mance test using all the mower test data? 3. What is the probability of having x failures in the next 100 mowers tested, for x from 0 to 20? 4. What is the average blade weight and how much variability is occurring in the measurements of blade weights