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?

A.
0.005

B.
0.015

C.
0.245

D.
0.735

Answer 1

D. 0.735

Explanation:

98% of 75% is 0.735 (feel free to look that up to double-check my answer) :)