Find the indicated probability. Round to four decimal places.
-A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 21 components and accept the whole batch if there are fewer than 3
Defectives. If a particular shipment of thousands of components actually has a 3% rate of defects,
What is the probability that this whole shipment will be accepted?
A)0.0208
B)0.9760
C)0.1060
D)0.4485

Question

Find the indicated probability. Round to four decimal places.
-A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 21 components and accept the whole batch if there are fewer than 3
Defectives. If a particular shipment of thousands of components actually has a 3% rate of defects,
What is the probability that this whole shipment will be accepted? 
A)0.0208
B)0.9760
C)0.1060
D)0.4485

Quizplus · Accepted Answer

The probability that the whole shipment will be accepted can be calculated using the binomial probability formula, considering the probability of getting 0, 1, or 2 defective components out of 21. Given a 3% defect rate, the calculation involves summing the probabilities of these three outcomes. The correct answer, after performing these calculations and rounding to four decimal places, is approximately 0.9760, indicating a high likelihood of the shipment being accepted under the given acceptance sampling plan.

Find the Indicated Probability