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What is the probability that this woman has cancer given this second mammogram also yielded a positive result?
a) 0.0936
b) 0.088
c) 0.48
d) 0.52

Respuesta :

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If the second mammogram also had a positive result, the probability that the woman has cancer becomes d) 0.52.

What is the probability the woman has cancer?

The probability that the woman has cancer given a positive second result can be found as:

= (Probability of having cancer and a positive result) / (Probability of a positive result regardless of cancer status)

Solving gives:

= (0.12 x 0.78) / ( (0.12 x 0.78) + (0.88 x 0.1))

= 0.0936 / (0.0936 + 0.088)

= 0.52

Full question information is:

  • American Cancer Society estimates that about 1.7% of women have breast cancer.
  • Susan G. Komen For The Cure Foundation states that mammography correctly identifies about 78% of women who truly have breast cancer.
  • An article published in 2003 suggests that up to 10% of all mammograms result in false positives for patients who do not have cancer.

Find out more on probabilities at https://brainly.com/question/12438498.

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