The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.3 minutes. 11 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( c. What is the distribution of? - N 2 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 21.9597 and 22.4597 minutes. e. For the 11 runners, find the probability that their average time is between 21.9597 and 22.4597 minutes. f. Find the probability that the randomly selected 11 person team will have a total time more than 235.4. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The top 15% of all 11 person team relay races will compete in the championship round. These are the 15% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? minutes