You have a sample of 100 values from a population with mean Âµ = 500 and with standard deviation Ïƒ = 80. What is the probability that the sample mean will be in the interval (490, 510)?

**Submission Modes and Output Format**

You may either solve the problem on pen-and-paper and submit the final answer in the text box, or you may submit an R or Python program to accomplish the above task. Your output should be a floating point/decimal number, correct to 4 places of decimal.

In the text box below, enter a floating point/decimal number, correct to 4 places of decimal.

Alternatively, you may submit an

**R**program, which uses the above parameters (hard-coded) and computes the answer.

Your answer should resemble something like:

```
0.1234
```

(This is **NOT** the answer, just a demonstration of what the answering format should resemble).