To approximate the empirical probability that a unit will pass the inspection, we first need to determine the number of units that passed the inspection.
- Total units inspected = 1,000
- Units rejected (due to defects) = 150
Now, calculate the units that passed:
\[ \text{Units passed} = \text{Total units} - \text{Units rejected} = 1,000 - 150 = 850 \]
Next, we find the empirical probability of passing the inspection:
\[ \text{Probability of passing} = \frac{\text{Units passed}}{\text{Total units}} = \frac{850}{1,000} = 0.85 \]
To express this as a fraction, it's \(\frac{17}{20}\).
Thus, the approximate empirical probability that a unit will pass the inspection is:
\[ \frac{17}{20} \]
So, the correct response is:
\(\frac{17}{20}\)