If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1499 and 20.9499 minutes.  For the 9 runners, find the probability that their average time is between 20.1499 and 20.9499 minutes.  Find the probability that the randomly selected 9 person team will have a total time more than 169.2.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.3 minutes. 9 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.

  1. If one randomly selected runner is timed, find the probability that this runner's time will be between 20.1499 and 20.9499 minutes. 
  2. For the 9 runners, find the probability that their average time is between 20.1499 and 20.9499 minutes. 
  3. Find the probability that the randomly selected 9 person team will have a total time more than 169.2.
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