Question
A certain electronic component for x-ray equipment is produced in batches of 25 units. Acceptance sampling...
A certain electronic component for x-ray equipment is produced in batches of 25 units. Acceptance sampling is performed by the buyer to protect himself from batches that come from a process with an unacceptable number of defective components.
The sampling consists of the following: From the batch of 25
units, 5 units are drawn at random, without replacement, and their
operation is tested.
If neither part fails, the lot is accepted.
a. If there were 2 defective units among the 25 pieces in the lot, what is the probability of accepting the lot? -The lot is accepted if none of the 5 units in the sample is defective
b. If the lot were 150 units and has 15 defective units and the rule is still to take a sample of 5, what would be the probability of not taking any defective in the sample of 5?
Homework Answers
Answer #1
a) The probability that a selected unit will be defective is
= 2/25 = 0.08
The probability that a selected unit will not be defective
= 1 - 0.08 = 0.92
The probability of accepting the lot is
b) The probability that a selected unit will be defective is
= 15/150 = 0.1
The probability that a selected unit will not be defective
= 1 - 0.1 = 0.9
The probability of not taking any defective in the sample of 5
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