Suppose a new screening test was developed for skin cancer. The following table was created using 18
Question: Suppose a new screening test was developed for skin cancer. The following table was created using 180 patients. The disease status was diagnosed by a pathologist reading a tissue sample.
| Skin test Result | Pathologist diagnosis of disease status | ||
| Cancer present | No Cancer | Total | |
| Test positive | 52 | 20 | 72 |
| Test negative | 8 | 100 | 108 |
| Total | 60 | 120 | 180 |
a. What is probability that the test was positive given a positive cancer diagnosis by the pathologist. 4 pts.
b. Find the joint probability of a positive test and a positive cancer diagnosis. 4 pts.
c. What is the probability of a cancer diagnosis by the pathologist (Note, this is a marginal probability). 4 pts.
d. What is the probability that a patient diagnosed with cancer by the pathologist also had a positive test result? 4 pts.
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Deliverables: Word Document
Deliverables: Word Document
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