Delayed diagnosis of cancer is a problem because it can delay the start of treatment. A paper examined possible causes for delayed diagnosis for women with breast cancer. The accompanying table summarizes data on the initial written mammogram report (benign or suspicious) and whether or not diagnosis was delayed for 432 women with breast cancer. Mammogram Report Benign Mammogram Report Suspicious Consider the following events. (1) P(B) (ii) P(S) Diagnosis Delayed 32 B the event that the mammogram report says benign S = event that the mammogram report says suspicious D = event that diagnosis is delayed (iii) P(DIB) 8 (a) Assume that these data are representative of the larger group of all women with breast cancer. Use the data in the table to estimate the following probabilities. (Round your answers to three decimal places.) (iv) P(DIS) Diagnosis Not Delayed 87 305

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