Question

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?

Answer 1

that would be 86.5% :))))

Answer 2

Nathan has
0.75 chance of allergy
0.25 chance of no allergy

test is
0.98 correct
0.02 incorrect

Nathan is not allergic to penicillin and the test predicts it
or in other words

Nathan no allergy and test incorrect
multiply the probabilities: Pr(no allergy) * Pr(incorrect) = 0.25*0.02 = 0.005

Answer 3

I hate skin tests OMG

Answer 4

Wait im wrong let me see

Answer 5

0.005

0.015

0.245

0.735
These are the answer choices

Answer 6

wait then i might be right : P

Answer 7

I think you are @Here_to_Help15

Answer 8

:))))))))))

Answer 9

It was not .005

Answer 10

Thanks. I've got it wrong like 5 times already. I tried :P

Answer 11

0.245