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Suppose that the reliability of a test for hepatitis is specified as follows: Of people with hepatitis, 97% have a positive reaction and 3% have a negative reaction; of people free of hepatitis, 92% have a negative reaction and 8% have a positive reaction. From a large population of which .05% of the people have hepatitis, a person is selected at random and given the test. If the test is positive, what is the probability that the person actually has hepatitis? (Round your answer to five decimal places.)
find the probability that the airline will have a seat for each person who has reserved one and who shows up
According to the data from the U.S. Department of Commerce, movie-theater box-office receipts (in millions of dollars) in year x can be approximated by y= 535.43x+5362.21, where x=0 corresponds to 1995. Assume that this equation remains valid unti..
You have 80 yards of fencing to enclose a rectangular region. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?
Given lim as x approaches 0- f(x) = Ll , lim as x approaches 0+ f(x) = Lr , and Ll ≠ Lr, which of the following statements is true?
Define the function f: (0, 1) -> A as follows: For x in the open interval (0,1), let f(x) be the element of A with the property that for every positive integer k, the digit i_k in the kth decimal place of f(x) is the least i in I such that x has a..
Descriptive statistics
Find the distance between the silo and tree from the given data - What is the distance between the silo and the tree, correct to the nearest meter?
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
Diastolic Blood pressure are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12.
Analyze the residuals from this experiment. Are there any indications of model inadequacy or violations of the assumptions?
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
Truth Values that are between 0 and 1 indicate varying degrees of truth. For instance, the truth value 0.8 can be assigned to the statement "Bob is happy," because Bob is happy most of the time
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