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On the basis of a physical examination and symptoms, a physician as- sses the probabilities that the patient has no tumour, a benign tumour, or malignant tumour as 0.70, 0.20, and 0.10, respectively. A thermographic st is subsequently given to the patient. This test gives a negative result th probability 0.90 if there is no tumour, with probability 0.80 if there is benign tumour, and with probability 0.20 if there is a malignant tumour. a) What is the probability that a thermographic test will give a negative

On the basis of a physical examination and symptoms, a physician as- sses the probabilities that the patient has no tumour, a benign tumour, or malignant tumour as 0.70, 0.20, and 0.10, respectively. A thermographic st is subsequently given to the patient. This test gives a negative result th probability 0.90 if there is no tumour, with probability 0.80 if there is benign tumour, and with probability 0.20 if there is a malignant tumour. a) What is the probability that a thermographic test will give a negative

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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7. On the basis of a physical examination and symptoms, a physician as- sesses the probabilities that the patient has no tumour, a benign tumour, or a malignant tumour as 0.70, 0.20, and 0.10, respectively. A thermographic test is subsequently given to the patient. This test gives a negative result with probability 0.90 if there is no tumour, with probability 0.80 if there is a benign tumour, and with probability 0.20 if there is a malignant tumour. a) What is the probability that a thermographic test will give a negative result for this patient? b) Obtain the posterior probability distribution for the patient when the test result is negative? c) Obtain the posterior probability distribution for the patient when the test result is positive? d) How does the information provided by the test in the two cases change the physician's view as to whether the patient has a malignant tumour?
Transcribed Image Text:7. On the basis of a physical examination and symptoms, a physician as- sesses the probabilities that the patient has no tumour, a benign tumour, or a malignant tumour as 0.70, 0.20, and 0.10, respectively. A thermographic test is subsequently given to the patient. This test gives a negative result with probability 0.90 if there is no tumour, with probability 0.80 if there is a benign tumour, and with probability 0.20 if there is a malignant tumour. a) What is the probability that a thermographic test will give a negative result for this patient? b) Obtain the posterior probability distribution for the patient when the test result is negative? c) Obtain the posterior probability distribution for the patient when the test result is positive? d) How does the information provided by the test in the two cases change the physician's view as to whether the patient has a malignant tumour?
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