The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.7 minutes. 17 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 5? 5 N([:,:]) c. What is the distribution of Z x? Z a: - WELD) d. If one randomly selected runner is timed, find the probability that this runner' s time will be between 24.4178 and 25.2178 minutes. [j e. For the 17 runners, find the probability that their average time is between 24.4178 and 25.2178 f. Find the probability that the randomly selected 17 person team will have a total time less than 411.4. :1 g. For part e) and f), is the assumption of normal necessary? Yes\" No h. The top 10% of all 17 person team relay races will compete in the championship round. These are the 10% lowest times. What is the longest total time that a relay team can have and still make it to the championship round? [:minutes