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The average time to run the 5K fun run is 22 minutes and the standard deviation...

The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.5 minutes. 49 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. For the 49 runners, find the probability that their average time is between 22.0643 and 22.4643 minutes.
  2. Find the probability that the randomly selected 49 person team will have a total time more than 1053.5.
  3. For part e) and f), is the assumption of normal necessary? YesNo
  4. The top 10% of all 49 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes
  5. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.0643 and 22.4643 minutes.
Math   Statistics-And-Probability   
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