159k views
3 votes
Nathan had an infection, and his doctor wanted him to take penicillin. Because NathanÍs 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

1 Answer

4 votes
nathan has 0.25 chance of no allegry.
test is 0.02 incorect.
nathan no allergy and test incorrect.
multiply the probabilities: = 0.25*0.02 = 0.005

hope this help
User Ateiob
by
8.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.