Question

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)
Responses

3/20

0.15%
0.15%

1.5%
1.5%

17/20

Answer 1

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

Total units inspected = 1000
Units rejected = 150
Units that passed = Total units - Units rejected = 1000 - 150 = 850

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

Empirical probability of passing = (Number of units that passed) / (Total number of units inspected)
= 850 / 1000
= 0.85

To express this as a fraction, we see that 0.85 = 85/100 = 17/20.

Therefore, the empirical probability that a unit will pass the inspection is **17/20**.