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How many people will fail the class

Response to the following problem:

A class has 80 students. Test 2 had a class average of 78 and a variance of 49. Answer the following 7 questions. (Assume Normal distribution). Assume a 90-80-70-60 scale; Do not round off answers.

1. What is the probability of getting an A?

2. How many will get an A?

3. What is the probability of getting a B?

4. What is the probability of getting a C?

5. How many people will fail the class?

6. If the bottom 5% will get an F, what will be the cut-off score?

7. If the top 15% get an A, what is the cutoff score for an A?

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Basic Statistics: How many people will fail the class

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