Mathematics, 04.08.2020 14:01 axxpjr12
A certain virus infects 10 in every 1000 people. A test used to detect the virus returns positive indicator 80% of the time when the person has the virus (20% false negative), and the test also returns positive indicator 5% of the time when the person does not have the virus (5% false positive). That is 20% of of the time when the test should be positive but wasn't, and 5% of the time the test indicated positive and shouldn't. 1) Out of all people who tested positive, what portion is really infected? In other word, if a person is tested positive, what is the probability that the person is infected by the virus? 2) If the infection rate for the population is 50 in every 1000 people, then when a person is tested positive what is the probability that the person is really infected by the virus? 3) If we are able to improve the accuracy, the false negative rate was reduced to 10% and the false positive rate was reduced to 3%. And the population infection rate remains at 10 in 1000 people. Under this scenario, if a person is tested positive what is the probability that the person is really infected by the virus? 4) Use your answer from part 1) as the baseline, compare your answers from 2) and 3) with the baseline. How did the probability change (increase or decrease) when the population infection rate increased from 10 in 1000 to 50 in 1000? How did the probability change (increase or decrease) when the test accuracy was improved?
Answers: 1
Mathematics, 21.06.2019 21:50
6x + 3y = -6 2x + y = -2 a. x = 0, y = -2 b. infinite solutions c. x = -1, y = 0 d. no solution
Answers: 1
Mathematics, 21.06.2019 22:50
Aclassroom is made up of 11 boys and 14 girls. the teacher has four main classroom responsibilities that she wants to hand out to four different students (one for each of the four students). if the teacher chooses 4 of the students at random, then what is the probability that the four students chosen to complete the responsibilities will be all boys?
Answers: 1
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