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%

1720
Start Fraction 17 over 20 End Fraction

320
Start Fraction 3 over 20 End Fraction

1.5%
1.5%
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1 answer

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

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

In this case:

  • Total units inspected = 1,000
  • Units rejected (due to defects) = 150
  • Units that pass = 1,000 - 150 = 850

Now, we can calculate the probability:

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

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

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

So, the probability that a unit will pass inspection is approximately 85%. However, none of the options you listed matches this value.

If you’re looking for a fraction representation of the passing rate:

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

Thus, the correct answer from the responses you provided is:

Start Fraction 17 over 20 End Fraction.