The average time to run the 5K fun run is 25 minutes and the standard deviation is 2.2 minutes. 4i] 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 ~ H{|:].l:'] b. What is the distribution of E? E - N[:',l:'} c. What is the distribution of Z a? 2:: ~ N{|:].|:]J d. If one randomlyr selected runner is timed. find the probability that this runner's time will be between 14.3?E1 and 25.331 minutes. :1 e. For the 4D runners, find the probability that their average time is between 14.3?31 and 25.3?31 1'. Find the probability that the randomly selected 4i] person team will have a total time more than 991. :l g. For part e} and f}, is the assumption of normal necessary? O YesO No h. The top 15% of all 40 person team relay races will compete in the championship round. 111ese 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? Sminutes