Sketch a drawing for each problem. Label and shade the appropriate area. Be sure to show all work for each problem. A line up for tickets to a local concert had an average waiting time of 20 minutes with a standard deviation of 4 minutes. A) What percentage of the people in line waited for more than 28 minutes? B) If 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes? 2. The speeds of cars on the highway have a mean of 65 mph with a standard deviation of 5 mph. A) What percentage of cars averaged less than 62 mph? B) If a police car stopped cars that were going more than 80 mph, how many cars would they stop if there were 8000 cars on the highway? 3. In an Oreo factory, the mean mass of a cookie is given as 40 g. For quality control, the standard deviation is 2 g. Cookies are rejected if they weigh more than 44 g or less than 36 g. What is the percentage of acceptable cookies? (between) 4. The average life of a battery is 50 hours with a standard deviation of 6 hours. The manufacturer advertises that they will replace all batteries that last less than 36 hours. What is the percentage of batteries they expect to replace? 5. The monthly income of workers at the Microsoft plant is normally distributed. The average monthly income is $3,250 and the standard deviation is $750. A) Find the median monthly income B) Find the income that sits at the 80th percentile. (Ps) C) Find the income that sits at the 30th percentile. (P30)