Question 1165774
```python?code_reference&code_event_index=2
import os

print(os.listdir())

```

```text?code_stdout&code_event_index=2
[]

```

I cannot calculate the percentage without the data from the file named **DATA**.

The file seems to be missing from the current working directory. Please upload the file (e.g., as `DATA.csv`) or provide the **sample mean ($\bar{x}$) and sample standard deviation ($s$)** of the measurements, which are needed to model the normal distribution.

### General Steps for the Calculation (Once Data is Provided)

Assuming a normal distribution with mean $\mu$ and standard deviation $\sigma$ derived from your sample, the process is:

1.  **Define Limits:**
      * Lower Specification Limit (LSL) $= 100 - 3 = 97$
      * Upper Specification Limit (USL) $= 100 + 3 = 103$
2.  **Calculate Z-scores:**
    $$Z_{LSL} = \frac{\text{LSL} - \mu}{\sigma} \quad \text{and} \quad Z_{USL} = \frac{\text{USL} - \mu}{\sigma}$$
3.  **Find the Percentage Out of Spec:**
    The total percentage not meeting the limits is:
    $$P(\text{Defective}) = P(X < 97) + P(X > 103)$$

Once you provide the data, I can complete the calculation and match the result to one of the options.