Mammograms many women choose to have annual mammograms to screen for breast cancer

Mammograms many women choose to have annual mammograms to screen for breast cancer after age 40. a mammogram isn’t foolproof. sometimes the test suggests that a woman has breast cancer when she really doesn’t (a ""false positive""). other times the test says that a woman doesn’t have breast cancer when she actually does (a ""false negative""). suppose the false negative rate for a mammogram is 0.10. explain what this probability means. which is a more serious error in this case: a false positive or a false negative? justify your answer.