To determine the empirical probability that a unit will pass inspection, we can calculate the proportion of units that were not rejected.
- Total units inspected: 1,000
- Units rejected: 150
- Units that passed inspection: \( 1,000 - 150 = 850 \)
Now, we can calculate the empirical probability of a unit passing inspection: \[ \text{Probability of passing} = \frac{\text{Units that passed}}{\text{Total units inspected}} = \frac{850}{1000} = 0.85 \]
To convert this probability to a percentage, we multiply by 100: \[ 0.85 \times 100 = 85% \]
Now, if we consider the proportion of units that were rejected: \[ \text{Probability of rejection} = \frac{150}{1000} = 0.15 \]
Again, to convert this to a percentage: \[ 0.15 \times 100 = 15% \] Thus, the probability of passing inspection is \(1 - 0.15 = 0.85\) or \(85%\).
Now, we can look at the options provided:
A) 0.15%
B) 3/20
C) 17/20
D) 1.5%
The closest correct option representing the probability of passing inspection as a fraction is C) 17/20, since: \[ \frac{17}{20} = 0.85 \text{ or } 85% \]
So the correct answer is C) 17/20.