Question

The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for corn plants that
do not have the protein.
If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is

Answer 1

Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

Percentages:

The percentages associated with an incorrect detection are:

• 2% of 3.5%(have the protein).

• 3% of 96.5%(do not have the protein).

Hence:

$p = 0.02(0.035) + 0.03(0.965) = 0.02965$

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

You can learn more about percentages and probabilities at brainly.com/question/25960993