Sa core:0 of 2 pts 5.3.15 9of12 (10 complete) Hw Score: 50%, 11 of 22 Question H

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Sa core:0 of 2 pts 5.3.15 9of12 (10 complete) Hw Score: 50%, 11 of 22 Question Help A test to determine whether a certain antibody is present s 99 3% effective. This means that he ist wilaccurately come back neprial the inibody is nof present (in the test sub ect) 993% of the time. The probability ofatestcoming back positive when the anabody not present (a given to seven randomly selected people who do not have the antbody (a) What is the probability at the test oones back negative for all seven people? false posilive) is 0,007. Suppose the test is wat te probasl MP al 7 tests are regativo Round to four do innal places as needed.) Enter your answer in the answer box and then click Check Answer Clear All OK This course fipring 2018 Math 227 Yuro is besed on Suivanc Pundamentals of Statisios, se

Explanation / Answer

a) P(the test comes back negative for all seven people) = (0.993)^7 = 0.952

b) P(the test comes back positive for at least one of the seven people) = 0.007 * (0.993)^6 + (0.007)^2 * (0.993)^5 + (0.007)^3 * (0.993)^4 + (0.007)^4 * (0.993)^3 + (0.007)^5 * (0.993)^2 + (0.007)^6 * (0.993)^1 + (0.007)^7 = 0.0068

                                                           

                                          

                                                     

                                                                

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