A certain form of cancer is known to be found in women over 60 with probability 0.07. A blood test exists for the detection of the disease but the test is not infallible. In fact, it is known that 10% of the time the test gives a false negative (i.e., the test incorrectly gives a negative result) and 5% of the time the test, gives a false positive (i.e., incorrectly gives a positive result). If a woman over 60 is known to have taken the test and received a favorable (i.e., a negative result), what is the probability that she has the disease?