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andrezito [222]
3 years ago
11

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

tire batch is accepted if every item in the sample is okay. The ABC Electronics Company has just manufactured 1950 write-rewrite CDs, and 120 are defective. If 4 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?
Mathematics
1 answer:
zysi [14]3 years ago
4 0

Answer:

0.7755

Step-by-step explanation:

If 120 CDs are defective, the number of non-defective CDs in the batch is:

n=1950-120\\n=1830

In order for the batch to be accepted, all of the 4 CDs in the sample must not be defective, the probability of that happening is:

P=\frac{1830}{1950}*\frac{1829}{1949} *\frac{1828}{1948} *\frac{1827}{1947}\\P=0.7755

The probability that the entire batch will be accepted is 0.7755.

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