Problem 10. Suppose the probability of a false positive result on a mammogram is 5% 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.) (b) 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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Problem 10. Suppose the probability of a false positive result on a mammogram is 5%
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.)
(b) 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.)
Transcribed Image Text:Problem 10. Suppose the probability of a false positive result on a mammogram is 5% 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.) (b) 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.)
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