American Cancer Society estimates that about 1.7% of women have breast cancer. A study for the Cure Foundation states that mammography correctly identifies about 78% of the women who truly have breast cancer. An article published in 2021 suggests that around 10% of all mammograms are false positive. Answer the following clearly stating your assumptions, if any, with appropriate justification. a. A woman has tested positive in a mammography. What is the probability that she has breast cancer? b. In order to double check the same woman undergoes a second test by the same mammography kit. This test too results in a positive. Does the probability of her having breast cancer change now or remain the same as earlier. Please justify your responses accordingly.
American Cancer Society estimates that about 1.7% of women have breast cancer. A study for the Cure Foundation states that mammography correctly identifies about 78% of the women who truly have breast cancer. An article published in 2021 suggests that around 10% of all mammograms are false positive. Answer the following clearly stating your assumptions, if any, with appropriate justification.
a. A woman has tested positive in a mammography. What is the
b. In order to double check the same woman undergoes a second test by the same mammography kit. This test too results in a positive. Does the probability of her having breast cancer change now or remain the same as earlier. Please justify your responses accordingly.
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