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In: Statistics and Probability

After preliminary testing, it is determined that .01 of the residents of Selma have a certain...

After preliminary testing, it is determined that .01 of the residents of Selma have a certain virus. In Sangrian, a suburb of Selma (incidence of the virus is the same), the authorities test the 10,000 residents of the suburb. The test has the following characteristics. If you have the virus, the probability that the test is positive is .95, and if you don’t have the virus, the probability that the test is positive is .10. Suppose that 1,100 of the 10,000 residents test positive. Let X = the number among those 1,100 who really do have the virus.

Find E(X) and Variance(X). thank you :) !!

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