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

the 2 probabilities mentioned here are with regard to the allergy and the accuracy of the test . These are independent of each other so in combination they are multiplied.

Answer 2

so we have 0.75 and 0.98

Answer 3

so 0.735

Answer 4

correct

Answer 5

Thank you so much! Your are a life saver.

Answer 6

welcome