- Prepare
- Tutorials
- 10 Days of Statistics
- Day 6: The Central Limit Theorem I

# Day 6: The Central Limit Theorem I

# Day 6: The Central Limit Theorem I

**Objective**

In this challenge, we practice solving problems based on the *Central Limit Theorem*. Check out the Tutorial tab for learning materials!

**Task**

A large elevator can transport a maximum of pounds. Suppose a load of cargo containing boxes must be transported via the elevator. The box weight of this type of cargo follows a distribution with a mean of pounds and a standard deviation of pounds. Based on this information, what is the probability that all boxes can be safely loaded into the freight elevator and transported?

**Input Format**

There are lines of input (shown below):

```
9800
49
205
15
```

The first line contains the maximum weight the elevator can transport. The second line contains the number of boxes in the cargo. The third line contains the mean weight of a cargo box, and the fourth line contains its standard deviation.

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

**Output Format**

Print the probability that the elevator can successfully transport all boxes, rounded to a scale of decimal places (i.e., format).