Acertain 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., negative) result, what is the probability that she has the disease?