1) The county health department just published a report saying that there is 1% chance that the deadly disease X exists in the population. There is a screening test for X, and you are encouraged to take the screening test. However, the test is not perfect. (No test is ever perfect). If you are sick, the test is positive in 90% of cases. If you are not sick, the test is positive in 4% of cases. a) Draw a tree diagram for the story above. b) You take a screen test. What is the probability that you have a positive result? c) You take a screen test. What is the probability that you have a negative result?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 1E: A binomial experiment is UDC in which there are exactly __________ outcome. One outcome is called...
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Can I get some help on these problems.

1) The county health department just published a report saying that there is 1% chance that the deadly
disease X exists in the population. There is a screening test for X, and you are encouraged to take the
screening test. However, the test is not perfect. (No test is ever perfect).
If you are sick, the test is positive in 90% of cases.
If you are not sick, the test is positive in 4% of cases.
a) Draw a tree diagram for the story above.
b) You take a screen test. What is the probability that you have a positive result?
c) You take a screen test. What is the probability that you have a negative result?
Transcribed Image Text:1) The county health department just published a report saying that there is 1% chance that the deadly disease X exists in the population. There is a screening test for X, and you are encouraged to take the screening test. However, the test is not perfect. (No test is ever perfect). If you are sick, the test is positive in 90% of cases. If you are not sick, the test is positive in 4% of cases. a) Draw a tree diagram for the story above. b) You take a screen test. What is the probability that you have a positive result? c) You take a screen test. What is the probability that you have a negative result?
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