To find the empirical probability that a unit will pass the inspection, we first need to determine how many units passed the inspection.
Out of the 1,000 units inspected, 150 units were rejected due to defects. Therefore, the number of units that passed the inspection is:
1,000 - 150 = 850 units
Now, we can calculate the empirical probability of a unit passing the inspection. The empirical probability is calculated as follows:
\[ \text{Probability of passing} = \frac{\text{Number of units that passed}}{\text{Total number of units inspected}} \]
Plugging in the values:
\[ \text{Probability of passing} = \frac{850}{1000} = 0.85 \]
To express this as a percentage:
\[ 0.85 \times 100 = 85% \]
However, as this appears to be different from the provided response options, we'll check the options:
- 1.5%
- 0.15%
- \( \frac{3}{20} \)
- 1720
None of these directly represent the probability of passing 85%. Consequently, \( \frac{3}{20} = 0.15 \) is the only one that represents an empirical probability.
Therefore, the correct answer is not listed in the provided options, but based on the inspection, the probability that a unit passes is 85%.
To clarify for response consideration, for passing:
- \( 850 / 1000 = 0.85 \) or 85% And for rejections:
- \( 150/1000 = 0.15 \) or 15%
Thus the answer for passing units is not included precisely in the options offered.