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QUESTION

Recent news articles have discussed the connection between a rare genetic mutation and breast cancer in women.

Recent news articles have discussed the connection between a rare genetic mutation and breast cancer in women. One of the companies offering this BRCA genetic test is Quest, and this company claims a 97.5% accuracy rate. In the general population about 1 in 410 people would actually carry this BRCA1 genetic mutation. 

Hint: Construct a table as in your course materials. Use a population size of 41000 women.

What is the likelihood that someone does not have the BRCA mutations, if they test positive? 

(Round your probability to the nearest tenth of a percent!)

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