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(a) The scores in the final year maths exams in a large university are normally distributed with a mean score of 63 marks and a
(a) The scores in the final year maths exams in a large university are normally distributed with a mean score of 63 marks and a standard deviation of 6. Find the proportion of students who got a mark: • Over 68 • Under 60 • Over 72 • Between 50 and 68 • Between 62 and 68. (7 marks each = 35marks)
(b) The top 8% of students will get a scholarship to do postgraduate work in the USA. Above what mark would you need to score in order to get this scholarship? (5 marks)
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