#8 Normal Distribution- Check-in Answer as many questions as you can The results of a recent math contest are normally distributed. The mean score is 251 with a standard deviation of 22. a) Draw a diagram showing the empirical rule (68-95-99.7 rule) of the normal distribution applied to this problem. b) Using the empirical rule for normal distributions (68-95-99.7 rule), what proportion of students got a score of less than 273? c) Using the empirical rule for normal distributions (68-95-99.7 rule), what proportion of students got a score of more than 295? d) Using the empirical rule for normal distributions (68-95-99.7 rule), what proportion of students got a score between 273 and 295? You may use results from previous questions to find your answer. e) What proportion of students got a mark more than 300? f) What proportion of students got a mark of less than 210? g) What proportion of students got a mark between 300 and 210? You may use the results from previous questions to find your answer.! h) Chloe boasts that her mark was better than 90% of people who wrote the contest. What was her score? i) Students who finished in the top 15% get a certificate. What is the minimum score that you could get to get a certificate