1) a- show that if event A is independent of itself, then P(A)=0 or 1 b- show that if P(A)= 0 or 1, then A is independent of any event B. 2) A mammogram is a test that must detect if a woman has breas 1) a- show that if event A is independent of itself, then P(A)=0 or 1 b- show that if P(A)= 0 or 1, then A is independent of any event B. 2) A mammogram is a test that must detect if a woman has breast cancer. It is estimated that this cancer affects about 08% of women. A study shows that if a woman does not have cancer, the mammogram will be positive in 10% of cases. If she has cancer, the mammogram will detect it 75% of the time. If a woman has a positive mammogram, should she panic