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(11) *A study indicates that 10% of the US. residents are infected by some virus. A medical test of this virus is 95% accurate (ie, when someone has the virus, the test is positive 95% of the time). But the test also yields false-positive results in 2% of the cases where the virus is not prNnt. Suppose a test result comes out as positive. What is the probability that the tester is actually infected by the virus? Hint: Let P(V)-the prob. a U.S. resident has the virus, P(t)- the prob. the medical test is positive You are tasked with finding P(VIt), which is not necessarily equal to PtV)-.95 Plvp)-
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