Question
A quality controller inspected 1,000 units of a product and rejected 120 units due to defects. What is the probability that a unit WILL pass inspection?(1 point)
Write your answer as a decimal:
Write your answer as a decimal:
Answers
GPT-4o mini
To find the probability that a unit will pass inspection, we first need to determine the number of units that passed inspection.
The total number of units inspected is 1,000, and the number of rejected units due to defects is 120. Therefore, the number of units that passed inspection can be calculated as:
\[
\text{Number of units that passed} = \text{Total units} - \text{Rejected units} = 1000 - 120 = 880
\]
Next, the probability that a unit will pass inspection is the number of units that passed divided by the total number of units inspected:
\[
\text{Probability of passing} = \frac{\text{Number of units that passed}}{\text{Total units}} = \frac{880}{1000}
\]
Calculating the probability:
\[
\frac{880}{1000} = 0.88
\]
Thus, the probability that a unit will pass inspection is:
\[
\boxed{0.88}
\]
The total number of units inspected is 1,000, and the number of rejected units due to defects is 120. Therefore, the number of units that passed inspection can be calculated as:
\[
\text{Number of units that passed} = \text{Total units} - \text{Rejected units} = 1000 - 120 = 880
\]
Next, the probability that a unit will pass inspection is the number of units that passed divided by the total number of units inspected:
\[
\text{Probability of passing} = \frac{\text{Number of units that passed}}{\text{Total units}} = \frac{880}{1000}
\]
Calculating the probability:
\[
\frac{880}{1000} = 0.88
\]
Thus, the probability that a unit will pass inspection is:
\[
\boxed{0.88}
\]