10 7 of 9 ( This Test: 90 pts Atest todeemine whether a certan ambody is prosent

Question

10 7 of 9 ( This Test: 90 pts Atest todeemine whether a certan ambody is prosent is 99 5% efective. This means tat te test wa aconbly oorne back negative 1 te ribody is not presentinho bet subject)gg5% oftom. The probablity of a test coming back positive when the antibody is not prosent (a false positive) is 0.006. Suppose the test is given to five randomly selected people who do not have the antibody b) What is the probability that the test comes back posiltive for at least one of the five people? a)Pal 5 tosts are negative) (Round to four decimal places as needed. ) b) Plart losst one positve)(Round to four decimal places as neoded) Enter your answer in each of the answer boxes 7 5 6 0

Explanation / Answer

a)P(all 5 tests are negative) =(0.995)5 =0.9752

b)P(at least one positive)=1-P(all 5 test are negative)=1-0.9752=0.0248

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