The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.4 minutes. 18 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. :I'U . 1What is the distribution of X? X ~ H{--] 4::4 'o". . 1What is the distribution of i? {E v Ni- 11.565? 1]. o\"_ _o\"_ .What is the distribution of :3? 23: ~ H[- 10.1323 1 .o\" o\": . If one randomly selected runner is timed, find the probability that this runner's time will be between 24.2514 and 24.3514 minutes. i l . For the 12+ runners, find the probability that their average time is between 24.2514 and 24.8514 minutes. i I . Find the probability that the randomly selected 18 person team will have a total time less than . For part e} and f}, is the assumption of normal necessary? 0 1100 Yes . The top 10% of all 18 person team relay races will compete in the championship round. These are the 1096 lowest times. What is the longest total time that a relay team can have and still make it to the championship round? I minutes