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%

0.15%

3/20

17/20

Answer 1

To approximate the empirical probability that a unit will pass the inspection, we first need to determine how many units passed the inspection.

- Total units inspected = 1,000
- Units rejected due to defects = 150

Units that passed the inspection = Total units - Rejected units = 1,000 - 150 = 850

Now, we can calculate the probability of passing the inspection:

\[
P(\text{pass}) = \frac{\text{Units that passed}}{\text{Total units inspected}} = \frac{850}{1000} = 0.85
\]

As a fraction, this is equivalent to:

\[
\frac{850}{1000} = \frac{17}{20}
\]

Thus, the approximate empirical probability that a unit will pass the inspection is:

**17/20**