(6)Suppose you are a doctor seeing a patient with a potential tumor (cancer). The patient's test results come back negative. Based on the data below, what is the probability that the patient has cancer?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(6)Suppose you are a doctor seeing a patient with a potential tumor (cancer). The
patient's test results come back negative. Based on the data below, what is the
probability that the patient has cancer?
Tumor is Malignant Tumor is Benign
85
TOTAL
1570
Positive Test Result
1485
(True Positives)
(False Positives)
Negative Test Result
15
8415
8430
(False Negatives)
(True Negatives)
TOTAL
100
9900
10,000
1
Transcribed Image Text:(6)Suppose you are a doctor seeing a patient with a potential tumor (cancer). The patient's test results come back negative. Based on the data below, what is the probability that the patient has cancer? Tumor is Malignant Tumor is Benign 85 TOTAL 1570 Positive Test Result 1485 (True Positives) (False Positives) Negative Test Result 15 8415 8430 (False Negatives) (True Negatives) TOTAL 100 9900 10,000 1
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