P1Need help please parts F and H The average time to run the 5K fun run is 22 minutes and the standard deviation is 2.6 minutes. 12 runnersare randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible andassume a normal distribution.a. What is the distribution of X? X N 22b. What is the distribution of? N(22c. What is the distribution of Σ? Σ IN 2649.0067d. If one randomly selected runner is timed, find the probability that this runner's time will be between21.7741 and 22.4741 minutes. 0.106963✓,2.60.7506ore. For the 12 runners, find the probability that their average time is between 21.7741 and 22.4741minutes. 0.11842f. Find the probability that the randomly selected 12 person team will have a total time less than261.6. 0.394927g. For part e) and f), is the assumption of normal necessary? No Yes ofh. The top 15% of all 12 person team relay races will compete in the championship round. These are the15% lowest times. What is the longest total time that a relay team can have and still make it to thechampionship round? 271.9x minutes

Given,the random sample of 12 runners, and the time taken is a normal variate X, .To find and longest total time that a relay team can have.f. The probability that the randomly selected 12-person team will have a total time less than 261.6 is. .h. The longest time that a relay team can have and still make it to the championship round is 254.6655 minutes. f. 0.394927.h. 254.6655 minutes.