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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

1720
Start Fraction 17 over 20 End Fraction

0.15%
0.15%

320
Start Fraction 3 over 20 End Fraction

1.5%

1 answer

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

Total units inspected = 1,000 Units rejected (defective) = 150

Units that passed = Total units - Units rejected Units that passed = 1,000 - 150 = 850

Now, we can calculate the probability of a unit passing the inspection:

Empirical probability that a unit will pass = Number of units that passed / Total number of units inspected Empirical probability = 850 / 1,000 = 0.85

To express this as a fraction, we can write it as:

0.85 = 85/100 = 17/20

Now, let's look at the choices presented:

  • Start Fraction 17 over 20 End Fraction

This means that the closest response for the probability that a unit will pass the inspection is:

Start Fraction 17 over 20 End Fraction