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?

0.005

0.015

0.245

0.735

Answer 1

0.735

Explanation:

plato

Answer 2

Option C is right answer

Explanation:

Given that 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.

Probability that Nathan is allergic to pennicillin and the test predicts it

=Prob (Nathan is allergic)*P(test predicts it correct)

= 0.75(0.98)

=0.245