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) A. 3/20 B. 0.15% C. 17/20 D. 1.5%
To calculate the empirical probability that a unit will pass the inspection, we need to find the proportion of units that passed the inspection out of the total number of units inspected.
Number of units that passed inspection = Total units inspected - Number of units rejected
Number of units that passed inspection = 1000 - 150
Number of units that passed inspection = 850
Empirical probability that a unit will pass the inspection = Number of units that passed inspection / Total units inspected
Empirical probability = 850 / 1000
Empirical probability = 0.85
Since the answer choices are not in decimal form, we can convert 0.85 to a fraction and a percentage:
0.85 as a fraction = 85/100 = 17/20
0.85 as a percentage = 0.85 * 100% = 85%
Therefore, the approximate empirical probability that a unit will pass the inspection is C. 17/20.