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


1.5%
1.5%
17/20


0.15%

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.

Total units inspected = 1,000
Units rejected (due to defects) = 150
Units that passed inspection = Total units - Units rejected = 1,000 - 150 = 850

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

Probability of passing = (Number of units that passed) / (Total number of units inspected)
Probability of passing = 850 / 1,000 = 0.85

Now, we can express this probability as a fraction:

0.85 = 85/100 = 17/20

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