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
You might also like to view...
Perform the indicated operation without the use of a calculator and express each answer in decimal notation.
A. 60,000 B. 0.06 C. 0.00001667 D. 0.0006
Use a calculator to evaluate the expression. Round approximate answers to four decimal places.
A. 0.0427 B. 0.5559 C. 0.1107 D. 0.5814
Find the area and perimeter of the rectangle.The length is 4 less than three times the width W. Express the area and perimeter in terms of the width W.
A. A = W(3W - 4), P = 8W - 4 B. A = W(3W - 4), P = 6W - 8 C. A = W(3W + 4), P = 8W + 8 D. A = W(3W - 4), P = 8W - 8
Solve the problem.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. By using linear regression, the following function is obtained: where x is entering GPA and y is current GPA. Use this function to predict current GPA of a student whose entering GPA is 3.3. Entering GPA Current GPA 3.53.63.83.73.63.93.63.63.53.93.93.84.03.73.93.93.53.83.74.0
A. 3.77 B. 3.28 C. 3.57 D. 3.39