The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.6 minutes. 9 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where...

The average time to run the 5K fun run is 20 minutes and the standard deviation is 2.6 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 19.2999 and 20.0999 minutes.


2. For the 9 runners, find the probability that their average time is between 19.2999 and 20.0999 minutes.


3. Find the probability that the randomly selected 9 person team will have a total time more than 187.2.