M1332 Contemporary Math Spring 2018 Rachael Jelerson&13218 11:32 AM Homework: 11
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Question
M1332 Contemporary Math Spring 2018 Rachael Jelerson&13218 11:32 AM Homework: 11.2 Events Involving Not AND OR and Contingency Save Score: 0 of 1 p Instructor-created question 17 of 19 (14 complele) HW Score: 73.68%, 14 of 19 pts Question Help * A certain vinus infects one in every 250 people which means Pinteded) 004 A test used to defed the wus ina person is postve 0%or trhe trme when the person haste asan 5%ofthe tro tente pe son doent ha emewus(Thes 5% res scandalase poste tet A tete eet Tep son b nkceran, s be the event "the person tests positive eale acetrgericy tatte based ahese exper ertal values and a sangle of 1000 pegle to determine anrtohdl.) and b) pNt 11dedl.) (a) The prot atity that a person Breded wten a person tests postes (Round to four decimail places as needed (B) The potatity that aperson isot nected when a person tests mgave is (Round to four decimal places as needed) Enter your answer in the edia fields and then click Check Answer Clear All ar All parts showing To see what to study next, go to your Study Plan 5 6 8 9 O RExplanation / Answer
Contingency table:
since p(infected)=0.004, total number of infected person in 10000 people will be 10000*0.004=40
non infected =10000-40=9960.
test detect virus in person is positive is 90% hence out of 40 infected people test will detect person is infective by 90% chance, for 40* 0.9 =36 people test will give positive result. Hence,40-36=4 will infected but negative test.
5% times test will faslely dected that person is infected that is person is not infected but test give positive result,hence 9960* 0.05=498 , Hence 9960-498 =9462 will be non infected and test negative.
p(person is infected when person test poistive)= 36/10000 =0.0036
p(person is not infected when person test negative)
= 9462/10000 =0.9462.
I hope this will help you.
Cheers!!!
Infected Non infected Total Test Positive 36 498 534 Test Negative 4 9462 9466 Total 40 9960 10000Related Questions
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