Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has 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 not allergic to penicillin and the test predicts it?

A.

0.005

B.

0.015

C.

0.245

D.

0.735

Question

Rene Vazquez

Mathematics

1 May, 21:52

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has 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 not allergic to penicillin and the test predicts it?

A.

0.005

B.

0.015

C.

0.245

D.

0.735

+5

Answers (1)

Know the Answer?

Kian Sampson · Answer 1

B ...015

Step-by-step explanation:

What you do is you take 75 and subtract it from 100 because he has a 75% chance he will have penicillin.

That is 15% so you will divide that by 100 to get.

B ...015 is your answer.