Probability

One study has reported that the sensitivity of the mammogram as a screening test for detecting breast cancer is 0.94, while its

specificity is 0.97. It is estimated that in a particular population 5% of women aged 55-65 and 10% of women aged 66-75 have breast

cancer.

(i) What is the probability that a woman aged 60 does not have breast cancer given that her test result is positive?

(ii) What is the probability that a woman aged 70 does not have breast cancer given that her test result is positive?

(iii) What is the probability that a woman aged 70 does not have breast cancer given that her test result is negative?
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