Question

A quality controller inspected 500 units of a product and rejected 80 units due to defects. What is the probability that a unit will pass inspection (no defects)?(1 point)
Responses

0%
0%

16%
16%

84%
84%

50%
50%

Answer 1

To find the probability that a unit will pass inspection (which means it has no defects), you can use the following formula:

\[
\text{Probability of passing} = \frac{\text{Number of units that passed}}{\text{Total number of units inspected}}
\]

From the given data:

- Total units inspected = 500
- Units rejected (defective) = 80

First, calculate the number of units that passed inspection:

\[
\text{Units that passed} = \text{Total units} - \text{Units rejected} = 500 - 80 = 420
\]

Now, calculate the probability:

\[
\text{Probability of passing} = \frac{420}{500} = 0.84
\]

To express this as a percentage, multiply by 100:

\[
0.84 \times 100 = 84\%
\]

Therefore, the probability that a unit will pass inspection is **84%**.