1. Find the appropriate measure of center. Discuss why thechosen measure is most appropriate. Why did you decide againstother possible measures of center? 2. Find the appropriate measureof variation. The measure of variation chosen here should match themeasure of center chosen in Part 1. 3. Find the graph(s) needed toappropriately describe the data. These may be done by hand andinserted into the Word document. You can also use Excel or a WebApplet to create a Histogram of the chosen data. Graphs can becopied and pasting onto the template. 4. Define the random variable(X) so that your chosen data set represents values of X. 5. Is yourchosen random variable discrete or continuous? Explain how youknow. 6. Would the Normal or Binomial distribution be a good fitfor the underlying sample distribution of X? If one of them is agood fit, state how you would approximate the distributionparameters (Use the mean and standard deviation of the data chosen)7. If you selected column D, calculate the probability that aflight will depart early or on-time. If you selected column E,calculate the probability that a flight will arrive early or ontime using the empirical definition of probability. 8. If youselected column D, calculate the probability that a flight willdepart late. If you selected column E, calculate the probabilitythat a flight will arrive late using the empirical definition ofprobability. 9. For those that selected column D, assume now thatthe random variable X = Departure Time is exactly normallydistributed with mean m= -2.5 and standard deviation s= 23. Computethe probability of a flight arriving late based on this newinformation. For those that selected column E, assume now that therandom variable X = Arrival Time is exactly normally distributedwith mean m= -2.5 and standard deviation s= 23. Does thiscontradict your answer from Part 8? Data: 0 -3 0 -7 8 -1 3 11 -6 -5-8 -4 -13 -13 -11 -14 -16 -14 -18 -18 -23 -23 2 1 -4 -6 7 -8 -8 -4-4 -5 -13 -9 -12 -7 -12 1 4 -19 -13 -19 3 12 13 2 0 0 4 -7 8 9 -1-10 -6 -12 -14 -13 9 -15 -13 -14 20 -16 11 -14 18 -19 -3 -4 0 -3 26 6 -6 1 11 -7 -10 -13 9 -13 -18 -17 -11 -20 -18 8 0 -20 -3 1 -1 -4-6 -5 -8 -10 -9 -6 8 -9 -12 -15 -14 -9 -17 -13 -17 2 -18 -18 -16 1-4 0 -5 7 -7 -7 -5 0 5 -6 -12 1 6 -10 -15 -18 -16 -17 0 -21 -18 5 13 -2 -1 -2 -3 4 3 -11 9 -11 -11 0 -11 17 -10 -11 0 -19 -18 0 8 -233 -3 -4 -6 0 2 -1 -9 -9 4 1 -9 -12 0 0 -11 -14 -19 -17 -13 23 8 213 4 -2 1 6 7 -9 -3 1 -9 -5 -11 -6 -6 -10 -13 -9 -17 -6 -20 1 -21-22 -2 0 -4 -3 3 -5 -6 -3 -5 -8 -12 -10 -7 -16 1 -14 -14 -16 -7 13-17 -16 7 0 1 1 4 1 -8 -5 -9 0 -4 8 -7 -14 7 -8 5 4 8 21 3 11 2 -230 4 3 2 0 -1 -7 5 3 8 12 -12 -15 -11 -7 17 -15 -13 -17 -21 4 -19-24 3 0 4 0 -2 -8 -5 6 5 1 -12 -14 7 8 -16 -11 -17 -20 10 4 -14 -22-22 -3 -4 2 -4 -2 0 6 -6 2 -9 -3 -10 -13 7 -10 -12 -13 -16 -20 1-14 -21 -17 3 -1 -1 0 -2 -7 -4 0 11 3 -11 -12 -11 -8 -13 -16 -16 72 -21 3 9 0 3 0 -5 -3 -3 -3 -3 -4 9 0 -8 -10 12 5 -16 -16 -13 -13 3-19 0 -20 2 -3 -2 3 5 -1 -8 -3 -7 -11 -7 -10 12 -12 -8 17 -9 -18-17 -14 1 -13 -21 -22 -2 -3 3 -3 -2 -7 -5 -10 -8 -6 -13 11 -11 -16-9 -13 -12 -13 -16 -10 -20 -19 -22 -1 -4 2 4 -3 -8 4 -3 -7 -11 -132 -13 -12 -15 3 -17 -10 3 0 -19 -20 -20 0 0 -5 -4 -3 -5 -1 -8 -7 -213 11 -10 -12 -15 -14 -17 -18 6 12 6 -19 -20 0 -1 -5 -1 4 6 3 8 0-11 -8 -14 -13 -11 3 -7 -11 10 -19 -20 -21 0 3 0 -4 0 2 -6 -7 -6 -78 -12 -2 -13 -7 9 -15 -14 -14 -17