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
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Solve.A window is in the shape of a square topped by a semicircle. The side of the square is x cm and the window cannot be wider than 140 cm. Find the function for the perimeter of the window and the domain of the function.
A. P = 3x + ?x : 0 < x ? 140
B. P = 4x + ?x : 0 < x ? 140
C. P = 4x + ?x2 : 0 < x ? 140
D. P = 3x + ?x2 : 0 < 140 ? x
Translate the verbal rule into a symbolic rule using x as the input variable and y as the output variable.The output is four less than the input.
A. x ? 4 B. y = x - 4 C. y = 4 - x D. y ? x - 4
Write in exponential form.log381 = x
A. 81x = 3 B. x3 = 81 C. 3x = 81 D. 813 = x
Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.
A.
B.
C.
D.