Suppose it is estimated that out of about 2 million people in Perth who are not in isolation, 100000 have a particular virus. Let A be the event that a person selected at random on a university campus has the virus. (a) Estimate the probability P(A). (b) If there are 8000 people on campus, how many do you expect to have the virus? (c) Let B be the event that the randomly-selected person tests negative using a rapid-antigen-test which has a false negative rate of 20%. What is P(B|A)? (d) What is the probability that a person selected at random has the virus and

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Suppose it is estimated that out of about 2 million people in Perth who
are not in isolation, 100000 have a particular virus. Let A be the event that a person
selected at random on a university campus has the virus.
(a) Estimate the probability P(A).
(b) If there are 8000 people on campus, how many do you expect to have the virus?
(c) Let B be the event that the randomly-selected person tests negative using a
rapid-antigen-test which has a false negative rate of 20%. What is P(B|A)?
(d) What is the probability that a person selected at random has the virus and
tests negative?
Transcribed Image Text:Suppose it is estimated that out of about 2 million people in Perth who are not in isolation, 100000 have a particular virus. Let A be the event that a person selected at random on a university campus has the virus. (a) Estimate the probability P(A). (b) If there are 8000 people on campus, how many do you expect to have the virus? (c) Let B be the event that the randomly-selected person tests negative using a rapid-antigen-test which has a false negative rate of 20%. What is P(B|A)? (d) What is the probability that a person selected at random has the virus and tests negative?
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