Mammograms are used to detect breast cancer. Suppose a mammogram is known to be 80% accurate, which means P(positive mammogram|cancer) = 0.80. Suppose in the United States, 40 million women are tested for breast cancer with mammograms and, of these, 200,000 have breast cancer (regardless of the results of the mammogram).
(a) Suppose the probability of receiving a positive mammogram given cancer is not present is 0.08. This is a false positive. Express this result as a conditional probability.
(b) Use the information given to fill in the following table.

Transcribed Image Text:

Cancer No Cancer Total Positive Mammogram Negative Mammogram Total 200,000 40,000,000