A test is given to candidates for graduate school. Studies show that (1 %) of the population
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A test is given to candidates for graduate school. Studies show that \(1 \%\) of the population are qualified for graduate school. If the person is qualified, the probability of passing the test is 95\%; if the person is not qualified, the probability of passing the test is \(5 \%\). Assume that the probability that a person taking the test is actually qualified is \(70 \%\). What is the probability (rounded to the nearest percent) that a person who passes the test is actually qualified?
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