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Textbook question. Not using for work other then to further understand the subject. Question 6.

Textbook question. Need help in understanding how this is done. Not using for work other then to further understand the subject.

Question 6.10

The final grade is normally distributed with a mean of 73 and a standard deviation of 8.

1. What is the probability of getting a grade of 91 or less? That a student obtains a grade between 65 and 89?

2. If the lecturer gives Distinction and High Distinctions to the top 15% of students, what grade does a student need to get a distinction?

3. If the lecturer gives grades of High Distinction to the top 5% of students, are you better off with a mark of 80 on this exam or a mark of 68 on a different exam where the mean is 62 and the standard deviation is 3? Explain

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