SOLUTION: Before a DVD leaves the factory, it is given a quality control check. The probabilities that a DVD contains 0, 1, or 2 defects are 0.90, 0.06, and 0.04, respectively. In a sample

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Question 1192618: Before a DVD leaves the factory, it is given a quality control check. The probabilities that a DVD contains 0, 1, or 2 defects are 0.90, 0.06, and 0.04, respectively. In a sample of 12 recorders, find the probability that 8 have 0 defects, 3 have 1 defect, and 1 has 2 defects.
Answer by ikleyn(52835)   (Show Source): You can put this solution on YOUR website!
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Before a DVD leaves the factory, it is given a quality control check.
The probabilities that a DVD contains 0, 1, or 2 defects are 0.90, 0.06, and 0.04, respectively.
In a sample of 12 recorders, find the probability that 8 have 0 defects, 3 have 1 defect, and 1 has 2 defects.
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Use the trinomial distribution formula


    P =  =  = 0.007364.    ANSWER

Solved.

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On trinomial distribution, see and learn from your textbook or from these Internet sources

https://online.stat.psu.edu/stat414/lesson/17/17.3

https://en.wikipedia.org/wiki/Multinomial_distribution



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