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
320
Start Fraction 3 over 20 End Fraction
1720
Start Fraction 17 over 20 End Fraction
0.15%
0.15%
1.5%
its 17 over 20
Start Fraction 17 over 20 End Fraction
Correct, the empirical probability that a unit will pass the inspection is 17/20 or 0.85.
To calculate the empirical probability that a unit will pass the inspection, we need to divide the number of units that passed by the total number of units inspected.
In this case, the quality controller inspected 1,000 units and rejected 150 units due to defects. So, the number of units that passed the inspection would be 1,000 - 150 = 850.
Next, we divide the number of units that passed (850) by the total number of units inspected (1,000) to get the empirical probability.
Empirical probability = Number of units that passed / Total number of units inspected
Empirical probability = 850 / 1,000
Calculating this fraction, we get:
Empirical probability = 17/20
So, the approximate empirical probability that a unit will pass the inspection is 17/20 or Start Fraction 17 over 20 End Fraction.