MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
Bartleby Related Questions Icon

Related questions

Question

How to solve d)

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?
expand button
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?
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman