Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?

0.005

0.015

0.245

0.735

Question

Rohan Hampton

Mathematics

30 November, 06:49

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?

0.005

0.015

0.245

0.735

+1

Answers (1)

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Alicia Garrison · Answer 1

He has a 75% chance of having and the test is 98% accurate. Assuming the two events are not related you can simply multiply them together ...75*.98 =.735.