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)

Question

Responses

17/20
Start Fraction 17 over 20 End Fraction

1.5%
1.5%

3/20
Start Fraction 3 over 20 End Fraction

0.15%

I choose 0.15%

Answer 1

To determine the empirical probability that a unit will pass the inspection, we should first find the number of units that passed inspection and then divide that by the total number of units inspected.

1. Total units inspected: 1,000
2. Units rejected: 150
3. Units that passed: \( 1000 - 150 = 850 \)

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

\[ \text{Probability of passing} = \frac{\text{Units that passed}}{\text{Total units inspected}} = \frac{850}{1000} = 0.85 \]

To express this as a fraction, we can simplify \( 0.85 \) to \( \frac{17}{20} \).

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

\[ \frac{17}{20} \]

Thus, the correct response is 17/20.

The choice of 0.15% is incorrect.