One study has reported that the sensitivity of the mammogram as a screening test for detecting breast cancer is 0.96, while its specificity is 0.93. It is estimated that 10% of women aged 55-75 in a particular population has breast cancer. What is the probability that a woman has breast cancer, given that her mammogram test result is negative? Please show your workings.
(A) 0.00154
(B) 0.00476
(C) 0.02516
(D) 0.07491
(E) 0.39620