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Semenov [28]
3 years ago
14

A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 26 componen

ts and accept the whole batch if there are fewer than 3 defectives. If a particular shipment of thousands of components actually has a 6% rate of defects, what is the probability that this whole shipment will be accepted?
Business
1 answer:
Inessa [10]3 years ago
7 0

Answer: 0.7973

Explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(1-p)^{n-x}, where P(x) is the probability of getting success in x trials , p is the probability of success in one trial and n is the number of trials.

Given : The probability of getting a defect components : 0.06

If randomly select and test 26 components , then the probability that this whole shipment will be accepted will be :-

P(x

Hence, the  probability that this whole shipment will be accepted = 0.7973

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