The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.5 minutes. 40 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution.
D. If one randomly selected runner is timed, find the probability that this runner's time will be between 20.107 and 20.507 minutes.
E. For the 40 runners, find the probability that their average time is between 20.107 and 20.507 minutes.
F. Find the probability that the randomly selected 40 person team will have a total time less than 780
H. The top 20% of all 40 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minute
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