The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 13 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 24 minutes and the standard deviation is 2.6 minutes. 13 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 24.0183 and 24.5183 minutes.


2. For the 13 runners, find the probability that their average time is between 24.0183 and 24.5183 minutes.


3. Find the probability that the randomly selected 13 person team will have a total time less than 305.5.