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- Day 5: Normal Distribution II

# Day 5: Normal Distribution II

# Day 5: Normal Distribution II

**Objective**

In this challenge, we go further with normal distributions. We recommend reviewing the previous challenge's Tutorial before attempting this problem.

**Task**

The final grades for a Physics exam taken by a large group of students have a mean of and a standard deviation of . If we can approximate the distribution of these grades by a normal distribution, what percentage of the students:

- Scored higher than (i.e., have a )?
- Passed the test (i.e., have a )?
- Failed the test (i.e., have a )?

Find and print the answer to each question on a new line, rounded to a scale of decimal places.

**Input Format**

There are lines of input (shown below):

```
70 10
80
60
```

The first line contains space-separated values denoting the respective mean and standard deviation for the exam. The second line contains the number associated with question . The third line contains the pass/fail threshold number associated with questions and .

If you do not wish to read this information from stdin, you can hard-code it into your program.

**Output Format**

There are three lines of output. Your answers must be rounded to a scale of decimal places (i.e., format):

- On the first line, print the answer to question (i.e., the percentage of students having ).
- On the second line, print the answer to question (i.e., the percentage of students having ).
- On the third line, print the answer to question (i.e., the percentage of students having ).