a) What is the 68-95-99.7 Rule and WHEN does it apply? 2. Based on long term data, the time to travel a particular bus route is 1 hour with a standard deviation of 10 minutes. Sketch the density curve of the travel time distribution assuming a normal distribution. Use the rule in a) to put the correct scale on the X-axis. 3. a) Define the z-transformation for a Normal distribution within a population, defining all the terms used. b) An individual run of this bus took 65 minutes. What is the z-score of this trip? What proportion of trips is likely to take longer than this