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. What is the distribution of XX? XX ~ N(,)


2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)


3. What is the distribution of ∑x∑x? ∑x∑x ~ N(,)