Assignment - Ch. 7: Central Limit Theorem (Sums) Progress saved Score: 0/5 0/6 answered . Question 2 The average time to run the 5K fun run Is 21 minutes and the standard deviation is 2.7 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. a. What is the distribution of X? X ~ N( 21 2.7 b. What is the distribution of ? & ~ N( 21 C. What is the distribution ofa? Ta - No 189 8.1000 d. If one randomly selected runner is timed, find the probability that this runner's time will be between 19.75 and 20.55 minutes. e. For the 9 runners, find the probability that their average time is between 19.75 and 20.55 minutes. f. Find the probability that the randomly selected 9 person team will have a total time less than 193.5. g. For part e) and f), is the assumption of normal necessary? @ Yes No h. The top 10% of all 9 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