need help kn this probability and statistic question with steps with 4 decimal place, thank you so much hhhhhh

Question 2120 marks! TOEFL is a wellknown test of English capability. The score of it ranges from O 120. The TOEFL organization states that candidates' scores are normally distributed with mean 74 points and variance 80. ABC is a local English tutorial school, which has run TOEFL preparation course for many years. According to the school record, its students TOEFL scores are normally distribution with mean 91 points and variance 49. (a) Use X to represent the TOEFL scores obtained by students who have taken preparation course in ABC tutorial school. Write down the distribution of X by using the normal distribution notation: N (,u, a 2 ). (b) Use 1' to represent the TOEFL scores obtained by candidates according to TOEFL organization report. Write down the distribution of Yby using the normal distribution notation: N (u. a 2 ). (c) ABC tutorial school gives scholarship to its students who scores more than 105 points in the TOEFL examination. What percentage of ABC tutorial school's students can get the scholarship? (d) Find the 95'1' percentile of the TOEFL scores of students in the ABC tutorial school. (e) Prepare a short summary (in around 50 words] for the promotion of ABC tutorial school's TOEFL preparation courses. The summary needs to include the following points: (i) List out and compare the average performance of the general candidate and students from ABC tutorial school, (ii) include the performance of the top 5% students in ABC tutorial school, and (iii) highlight the ABC tutorial school's scholarship scheme with the percentage of its students can get the scholarship