Question: 1.What is the 68-95-99] Rule and WHEN does it apply? 2. Based on long term data, the time to travel a particular bus route is

1.What is the 68-95-99] Rule and WHEN does it apply? 2.

1.What is the 68-95-99] 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 l. to put the correct scale on the x-axis. 3. a) Dene the z-transformation for a Normal distribution within a population, dening 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? 4. Given independent. random variables with means and standard deviations as shown, nd the mean and standard deviations of these combinations of the variables

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