Question 1 0/1 pt 9 3 99 0 The average time to run the 5K fun run is 24 minutes and the standard deviation is 2.6 minutes. 7 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 a? X - N( C. What is the distribution of Mac? >x - Nd d. If one randomly selected runner is timed, find the probability that this runner's time will be between 24.4259 and 25.7259 minutes. e. For the 7 runners, find the probability that their average time is between 24.4259 and 25.7259 minutes. f. Find the probability that the randomly selected 7 person team will have a total time more than 174.3. g. For part e) and f), is the assumption of normal necessary? No Yes h. The top 10% of all 7 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