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

1.5%
1.5%

0.15%
0.15%

Start Fraction 3 over 20 End Fraction

Start Fraction 17 over 20 End Fraction

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.

Given:

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

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

The empirical probability that a unit will pass the inspection is then calculated as:

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

Now, expressing 0.85 as a fraction:

\[ 0.85 = \frac{85}{100} = \frac{17}{20}. \]

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

Start Fraction 17 over 20 End Fraction.