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 approximate 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 = 1,000
2. 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:

**\(\frac{17}{20}\)**