Question

A quality controller inspected 1,000 units of a product and rejected 150 units due to defects. Approximate the empirical probability that a unit will pass the inspection.(1 point)
Responses

1.5%
1.5%

0.15%
0.15%

1720
Start Fraction 17 over 20 End Fraction

320

Answer 1

To find the empirical probability that a unit will pass the inspection, we first need to determine the number of units that passed the inspection.

1. Total units inspected = 1000
2. Units rejected due to defects = 150

To find the units that passed:
- Units that passed = Total units - Units rejected
- Units that passed = 1000 - 150 = 850

Next, we calculate the probability that a unit will pass the inspection:
- Probability of passing = (Number of units that passed) / (Total units inspected)
- Probability of passing = 850 / 1000 = 0.85

Thus, the empirical probability that a unit will pass the inspection is 0.85 or 85%.

None of the response options provided (1.5%, 0.15%, Start Fraction 17 over 20 End Fraction, 320) match this calculated probability. However, if "Start Fraction 17 over 20 End Fraction" represents 0.85 (which is equivalent to 85%), then it would be the correct answer.

Please clarify if "Start Fraction 17 over 20 End Fraction" is indeed meant to represent 0.85 as it appears to be a fraction. In that case, the correct response would be:

**Start Fraction 17 over 20 End Fraction** (which is equivalent to 0.85 or 85%).