(6)Suppose you are a doctor seeing a patient with a potential tumor (cancer). Thepatient's test results come back negative. Based on the data below, what is theprobability that the patient has cancer?Tumor is Malignant Tumor is Benign85TOTAL1570Positive Test Result1485(True Positives)(False Positives)Negative Test Result1584158430(False Negatives)(True Negatives)TOTAL100990010,0001

Here use given contingency table to answer the question And basic rule of probability use here

(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?

(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?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 8E: Suppose the probability of incorrectly transmitting a single bit is . Compute the probability of...

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Question

(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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