Dr. Hu is training for Boston Marathon. Based on online research, Dr. Hu found out that there were 24,607 funner finished last year (2022) with an average finish time of 3 hours 45 mins (225 mins) with a standard deviation of 60 mins. Dr. Hu's personal best is 2 hours 45 mins (165mins). Assume this year there will be 25,000 runners participating Boston Marathon. Assume the average performance of the runner will improve 5mins (220mins) with the same standard deviation (60mins), and the data will still be normally distributed. To finish as the first 500 runners, Dr. Hu needs to finish the Marathon