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.

Question

3/20
1.5%
17/20
0.15%

Answer 1

To find the empirical probability that a unit will pass the inspection, we need to calculate the number of units that passed the inspection and divide that by the total number of units inspected.

1. Total units inspected = 1,000
2. Units rejected due to defects = 150
3. Units that passed the inspection = 1,000 - 150 = 850

Now, we can calculate the empirical probability:

\[ \text{Probability that a unit will pass inspection} = \frac{\text{Units that passed}}{\text{Total units inspected}} = \frac{850}{1000} = 0.85 \]

To express this in a more understandable form, we can convert it to a fraction: \[ 0.85 = \frac{85}{100} = \frac{17}{20} \]

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

17/20