Question

A test for the presence in the blood of antibodies to HIV, the virus that causes AIDS, gives a positive result with probability about 0.004 when a person who is free of HIV antibodies is tested. This is called a false positive. A clinic tests 5000 people who are all free of HIV antibodies. What is the probability that between 10 and 15 people in this sample will receive a false positive reading?

Answer 1

olution Giren data n = 5000 P=0.004./qa-p = 1-0.004 -0.996 probabiuity that between lo and i5 people. - Plio sx515) = P(x-10) ep (851) +P(x-12) +PCX=13) +PCxElu) APCX215) Coconu).(0-996) + 5000 : coinou), (0.996) + 5000 cocow). 10.990 good- + 50000 (0o0u) (0-996) of 5000c Co.oou) (0.996) coroou) 5000 5000 -10 16 5507-14 10 M 13 5000-13 12 13 14 5000 155 10-15 + 5000 15 lu 101996) 0-005764 FO-01050105 + 0.019533 10-0207077478 f 0.03865108 +0+0515968695) 0.151063779, Z 0.151 (Rounded to four deemal placer?