# What is the probability that a randomly selected person from the population tests negative, statistics homework help

Anonymous
timer Asked: Jan 27th, 2016
account_balance_wallet \$10

### Question Description

You’ve Got Cooties! A certain medical test has the following reliability: if a person has cooties the test will show positive with probability 0.95. If a person does not have cooties, the test will show negative with probability 0.6. Overall, 10% of the population has cooties. Give your answers as percentages with two decimal digits, e.g. 93.42%.

Hint: Fill in this tree diagram. C = person has cooties. F = person is cooties “free”. P = test is positive for the disease. N = test is negative for the disease.

Q1) What is the probability that a randomly selected person from the population tests negative?

Q2) What is the probability that a randomly selected person from the population tests positive?

Q3) If a person tests negative, what is the probability that the person is actually free of the disease?

Q4) If a person tests positive, what is the probability that the person actually has the disease?

george
School: Cornell University

flag Report DMCA
Review

Anonymous
Top quality work from this guy! I'll be back!

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors