a. Probability that the test gives a positive result for this person is b. If the test result is positive for this person, then the probability that this person actually has the disease is_ Assuming that the event "A randomly selected person has the disease" is denoted by D and the event "The test for randomly selected person has positive result "is denoted by T, show your work in finding probabilities in a. and b.
a. Probability that the test gives a positive result for this person is b. If the test result is positive for this person, then the probability that this person actually has the disease is_ Assuming that the event "A randomly selected person has the disease" is denoted by D and the event "The test for randomly selected person has positive result "is denoted by T, show your work in finding probabilities in a. and b.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:7.
It's known that 5 % of people in a certain population have the disease (and 95% do not have
the disease).
A test for disease gives a positive result (indicating the presence of disease) in 85% of cases when
the person has the disease, and in 10% of cases when the person does not have the disease.
One person is chosen at random from population and is tested.
a. Probability that the test gives a positive result for this person is
b. If the test result is positive for this person, then the probability that this person actually
has the disease is_
Assuming that the event "A randomly selected person has the disease" is denoted by D and
the event "The test for randomly selected person has positive result "is denoted by T,
show your work in finding probabilities in a. and b.
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