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.
To find 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:
Number of units that passed = 1000 - 150 = 850
Total number of units inspected = 1000
Empirical probability of passing the inspection = Number of units that passed / Total number of units inspected
= 850 / 1000
= 0.85
Therefore, the empirical probability that a unit will pass the inspection is approximately 0.85 or 85%.
To find the empirical probability that a unit will pass the inspection, divide the number of units that passed by the total number of units inspected.
Number of units that passed = Total units inspected - Number of units rejected = 1,000 - 150 = 850
Empirical probability of a unit passing the inspection = Number of units that passed / Total units inspected = 850 / 1,000 = 0.85
Therefore, the approximate empirical probability that a unit will pass the inspection is 0.85 or 85%.
To approximate the empirical probability that a unit will pass the inspection, we can use the formula:
Empirical Probability = Number of favorable outcomes / Total number of outcomes
In this case, the number of favorable outcomes refers to the number of units that passed the inspection, and the total number of outcomes refers to the total number of units inspected.
Given that the quality controller inspected 1,000 units and rejected 150 units, we can calculate the number of units that passed the inspection:
Number of units that passed = Total units inspected - Number of units rejected
Number of units that passed = 1000 - 150 = 850
Now, we can plug this value into the formula to calculate the empirical probability:
Empirical Probability = Number of units that passed / Total units inspected
Empirical Probability = 850 / 1000
Calculating this, we find:
Empirical Probability ≈ 0.85
Therefore, the approximate empirical probability that a unit will pass the inspection is 0.85 or 85%.