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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Find the average value of the function f over the given region.f(x, y) = ex2 over the region bounded by  , , and  .

A.
B. 2e - 1
C.
D. e - 1

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A. (1, 0), (0, 3) B. (-1, 0), (0, 3) C. (-3, 0), (0, 3) D. (1, 0), (0, -3)

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Add.7760 + 105 + 6

A. 7971 B. 7856 C. 7881 D. 7871

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Find the indicated maxima or minima.Minimum of f(x,y) = x2 + 4y2 + 6,subject to 2x - 8y = 20

A. 26 when x = -2, y = -2 B. 26 when x = 2, y = -2 C. 26 when x = -2, y = 2 D. 26 when x = 2, y = 2

Mathematics