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 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. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?

Answer 1

The probability that Nathan is not allergic to penicillin, like his father and paternal grandfather, is 24.5%.

What is probability?

Probability estimates the likelihood of an event occurring.

Probability is expressed as a percentage, decimal, or fraction, and must be less than or equal to one.

Data and Calculations:

Nathan's chances of having the same allergy = 75%

Nathan's probability of not having the same allergy = 25% (1 - 75%)

Accuracy of test performed by the doctor = 98%

The probability that Nathan is not allergic to the drug after the test = 24.5% (25% x 98%).

Thus, the probability that Nathan is not allergic to penicillin is 24.5%.

Learn more about probability at brainly.com/question/251701

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