Question 1 The average time to run the SK fun run is 23 minutes and the standard deviation is 2.2 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. a. What is the distribution of X? X - N( b. What is the distribution of 2? 2 - N C. What is the distribution of z- d. If one randomly selected runner is timed, find the probability that this runner's time will be between 22.4847 and 22.9847 minutes. e, For the 13 runners, find the probability that their average time is between 22.4847 and 22.9847 minutes. f. Find the probability that the randomly selected 13 person team will have a total time more than 289.9 g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 20% of all 13 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? minutes Hint: Some Helpful Videos: Finding the Sampli