Distribution

A variable a: Is normally distributed with mean 16 and standard deviation 8. Round your answers to the nearest hundredth as needed. a) Determine the zscore for z = 22. 3: H b) Determine the z-score for a: = 11. 7,: U c] What value of a: has a z-score of 1.38? H d) What value of 2 has a zscore of 0.5? :3: H e) What value of a: has a z-score of 0? :2: H In a mid-size company. the distribution of the number of phone calls answered each day by each of the 12 receptionists Is bell-shaped and has a mean of 54 and a standard deviation of it. Using the empirical rule (as presented In the book). what Is the approximate percentage of daily phone calls numbering between 43 and 65? A company has a policy of retiring company cars: this policy looks at number of miles driven, purpose oftrlps, style of car and other features. The distribution of the number of months in service for the eet of cars Is bell-shaped and has a mean of46 months and a standard deviation of 10 months. Using the empirical rule [as presented In the book). what is the approximate percentage of cars that remain in service between 66 and 76 months? For a standard normal distribution, nd: Piz -2.68} :1 The annual rainfall In a certain region Is approximately normally distributed with mean 41.5 Inches and standard deviation 5.8 Inches. Round answers to the nearest tenth ofa percent. a) What percentage ofyears will have an annual rainfall of less than 44 Inches? :lli b) What percentage of years will have an annual rainfall of more than 38 inches? :96 c) What percentage of years will have an annual rainfall of between 37 Inches and 43 Inches? l:l%