Question

A quality controller inspected 1000 units of a product and rejected 150 units due to defects approximate the empirical probability that a unit will pass inspection
A. 3/20
B. 1.5%
C. 17/20
D. 0.15%

Answer 1

To find the empirical probability that a unit will pass inspection, we first need to determine how many units passed inspection.

1. Total units inspected = 1000
2. Units rejected (due to defects) = 150
3. Units that passed inspection = Total units - Rejected units = 1000 - 150 = 850

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

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

To express this as a fraction:

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

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

**C. \( \frac{17}{20} \)**