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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