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- Day 5: Normal Distribution I

# Day 5: Normal Distribution I

# Day 5: Normal Distribution I

**Objective**

In this challenge, we learn about normal distributions. Check out the Tutorial tab for learning materials!

**Task**

In a certain plant, the time taken to assemble a car is a random variable, , having a normal distribution with a mean of hours and a standard deviation of hours. What is the probability that a car can be assembled at this plant in:

- Less than hours?
- Between and hours?

**Input Format**

There are lines of input (shown below):

```
20 2
19.5
20 22
```

The first line contains space-separated values denoting the respective mean and standard deviation for . The second line contains the number associated with question . The third line contains space-separated values describing the respective lower and upper range boundaries for question .

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

**Output Format**

There are two 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 probability that a car can be assembled in less than hours).
- On the second line, print the answer to question (i.e., the probability that a car can be assembled in between to hours).