3. A sociologist has constructed a screening test for students' Class Skipping Disorder (CSD). Her test is 95% sensitive (i.e., among those students who suffer from CSD the test correctly identifies 95% of them). The test has 99% specificity (i.e., among those students who do not suffer from CSD the test correctly identifies 99% of them). It is well known that about 25% of Kent State University students suffer from CSD. (i) Explain the above information in a tree diagram, clearly marking the probability of each portion of each branch. (ii) If a randomly selected student is tested for CSD what is the chance that he/she will have a positive test result? (iii) If a randomly chosen KSU student is tested positive for CSD what is the chance that he/she has CSD?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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3. A sociologist has constructed a screening test for students' Class Skipping Disorder (CSD).
Her test is 95% sensitive (i.e., among those students who suffer from CSD the test correctly
identifies 95% of them). The test has 99% specificity (i.e., among those students who do not
suffer from CSD the test correctly identifies 99% of them). It is well known that about 25%
of Kent State University students suffer from CSD.
(i) Explain the above information in a tree diagram, clearly marking the probability of
each portion of each branch.
(ii) If a randomly selected student is tested for CSD what is the chance that he/she will
have a positive test result?
(iii) If a randomly chosen KSU student is tested positive for CSD what is the chance
that he/she has CSD?
Transcribed Image Text:3. A sociologist has constructed a screening test for students' Class Skipping Disorder (CSD). Her test is 95% sensitive (i.e., among those students who suffer from CSD the test correctly identifies 95% of them). The test has 99% specificity (i.e., among those students who do not suffer from CSD the test correctly identifies 99% of them). It is well known that about 25% of Kent State University students suffer from CSD. (i) Explain the above information in a tree diagram, clearly marking the probability of each portion of each branch. (ii) If a randomly selected student is tested for CSD what is the chance that he/she will have a positive test result? (iii) If a randomly chosen KSU student is tested positive for CSD what is the chance that he/she has CSD?
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