5) (5 Points) Show all work! No work no credit. At a large manufacturing company managers are given ratings based upon a multitude of metrics higher overall scores mean better performance. This year these performance scores are normally distributed with an average of 560 and a standard deviation of 80. a) (1 point) Draw the normal distribution of performance scores. Label the mean, 1 o,2 0, and +3 a. You can do this by hand, using R (see code in Data Analysis 1 in Canvas) or using the Statistics Interactives App 2. b) (2 point) What proportion of performance scores are above 600? Use the z table and include your calculation of the z score. You may verify your answer with R or the Statistics Interactive App. c) (2 point) Those with a performance score above the 90th percentile will receive a promotion. What is the performance score cutoff for promotion? 5:45 PM 20% 2-1. a. Draw the mechanical network. b. From the mechanical network write the differential equations of performance. BI fl K24 Draw X2 M ki Problems M K M www K M JB -B *2