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Mathematics, 06.05.2021 23:10 arixox

Suppose the probability of a false positive result on a mammogram is 4% and that radiologists' interpretations of mammograms are mutually independent in the sense that whether or not a radiologist finds a positive result on one mammogram does not influence whether or not a radiologist finds a positive result on another mammogram. Assume that a woman has one mammogram every year for ten years. (a) What is the probability (as a %) that she will have no false positive results during that time? (Round your answer to two decimal places.) 66.48 Correct: Your answer is correct. % (b) What is the probability (as a %) that she will have at least one false positive result during that time? (Round your answer to two decimal places.) 33.52 Correct: Your answer is correct. % (c) What is the probability (as a %) that she will have exactly two false positive results during that time? (Round your answer to two decimal places.) 5.19 Correct: Your answer is correct. % (d) Suppose that the probability of a false negative result on a mammogram is 2%, and assume that the probability that a randomly chosen woman has breast cancer is 0.0002. (i) If a woman has a positive test result one year, what is the probability (as a %) that she actually has breast cancer? (Round your answer to two decimal places.)

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