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Social ScienceSamples of rejuvenated mitochondria are mutated (defective) with probability 0.2. Find the probability you need to examine at least 6 samples to find 2 samples containing mutations. Report answer to 3 decimal places.
Samples of rejuvenated mitochondria are mutated (defective) with probability 0.2. Find the probability you need to examine at least 6 samples to find 2 samples containing mutations. Report answer to 3 decimal places.
Expert Answer
In this question, we need to find the probability that at least 6 samples need to examine to find the 2 samples mutated. The probability that a sample is mutated is 0.2.
If we need to find the probability that at least 6 samples need to examine to find the 2 samples mutated which means in first 5 samples that have examined only one or...
![1-P(Zero sample found mutated in first five)+P(One sample found mutated in first five)
=1-[iC,x0.20° x0.80 + °Cc, x0.20' x 0.80 ]
=1-0.73728
=0.26272](https://prod-qna-question-images.s3.amazonaws.com/answer/72695e79-16d7-4c21-8f11-d8521c819119/2ea0410b-3c57-4e55-a4dd-9dcba634b003/3yyefqo.png)
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1-P(Zero sample found mutated in first five)+P(One sample found mutated in first five) =1-[iC,x0.20° x0.80 + °Cc, x0.20' x 0.80 ] =1-0.73728 =0.26272
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