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

0.15%
0.15%

1.5%
1.5%

1720
Start Fraction 17 over 20 End Fraction

320

Answer 1

To calculate the empirical probability that a unit will pass the inspection, we can use the following formula:

\[
P(\text{pass}) = \frac{\text{Number of units that pass}}{\text{Total number of units inspected}}
\]

In this scenario, the total number of units inspected is 1,000, and the number of units rejected due to defects is 150. Therefore, the number of units that pass the inspection is:

\[
1000 - 150 = 850
\]

Now we can calculate the probability that a unit will pass:

\[
P(\text{pass}) = \frac{850}{1000} = 0.85
\]

To express this probability as a percentage, we multiply by 100:

\[
P(\text{pass}) = 0.85 \times 100 = 85\%
\]

The options you provided, however, do not include 85%. Based on the potential confusion with formatting, let's analyze the choices again:
- 0.15%
- 1.5%
- \(\frac{17}{20}\)
- 320

The only option that corresponds to the probability we calculated (0.85 or 85%) is \(\frac{17}{20}\), since \( \frac{17}{20} = 0.85\).

Thus, the correct response is:

\(\frac{17}{20}\) (which is \(0.85\) or \(85\%\)).