omework aspsThomeworkd:470615396iquestionld: 178flushed-fabeBcl:49041968centerwi

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omework aspsThomeworkd:470615396iquestionld: 178flushed-fabeBcl:49041968centerwinzyes 1332 Contemporary Math Spring 2018 Rachel Jeferson 3/2/18 12:27 PM Homework: 11.2 Events Involving Not AND OR and Contingency Save core: 0 of 1 pt Instructor-created question 17of19 (18 complete) Hw score: 92.98%, 17 67 of 19 pts Queston Help * rte tre aten repeson teran, B Atestused kate te we n a personsposn e90% Acetan wus nets one nevery 250 people wtich means preded_004 nas ue virus and 5%ofthe tre when te person does not have te rus (This 5% resut is caledaate poshe)Let Abete evert Teperson s te the event e person tests postive Create a Contingency table based on these expermental values and a sample of 10,000 people to determine a) Piinlectled I) and b) Pot Isfected tameprotatlity that a person is r eded when a person tests positve is Round to tour descimal places as needed ) b) The probabity that a person is nok indected when a person tests negative is Round to tour decimai places as needed) Enter your answer in the edit felds and then clck Check Answer All parts showing tons

Explanation / Answer

a)P(infected|posiitve)=P(infected and positive)/P(infected) =0.004*0.9/(0.004*0.9+(1-0.004)*0.05) =0.0674

b)P(not infected|negative)=P(not infected and negative)/P(not infected) =(1-0.004)*0.95/(0.004*0.1+(1-0.004)*0.95) =0.9996

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