Use Bayes' rule to find the indicated probability.The incidence of a certain disease on the island of Tukow is 4%. A new test has been developed to diagnose the disease. Using this test, 91% of those who have the disease test positive while 4% of those who do not have the disease test positive (false positive). If a person tests positive, what is the probability that he or she actually has the disease?

A. 0.438
B. 0.487
C. 0.91
D. 0.856


Answer: B

Mathematics

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Solve the problem.In an election, each member ranks the candidates from first to third. The preference schedule below shows the results of the preliminary nonbinding ballots with candidates Robbins (R), Kaplan (K), and Simpson (S).A second election is then held, which yields the following preference schedule:If a run-off of the top two candidates is used to determine the winner, is Fairness Criterion 3 satisfied?

A. no B. yes

Mathematics

Write a polar equation in r and ? of an ellipse with the focus at the origin, with the eccentricity and directrix x = -13.

Mathematics

Simplify.

A. 1
B.
C. 0
D. -1

Mathematics

How many digits does it take in total to number a book from page 23 to page 877?

a.  518 b.  854 c.  2,488 d.  523 e.  385,003

Mathematics