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iren [92.7K]
3 years ago
14

Help please, Drag the tiles to correct boxes to complete the pair

Mathematics
1 answer:
Tema [17]3 years ago
4 0

Based on the accuracy of the test and the probability of Kevin having the disease, the following are true:

  • Probability that Kevin has diabetes and the test predicts this = 0.6375.
  • Probability that Kevin has diabetes and the test doesn't predicts this = 0.1125.
  • Probability that Kevin doesn't have diabetes and the test predicts this = 0.2125.
  • Probability that Kevin doesn't have diabetes and the test doesn't predicts this = 0.0375.

<h3>Probability that Kevin has diabetes and the test predicts this</h3>

= Probability that Kevin has diabetes x Accuracy of test

= 0.75 x 0.85

= 0.6375

<h3>Probability that Kevin has diabetes and the test doesn't predicts this</h3>

= Probability that Kevin has diabetes x (1 - Accuracy of test )

= 0.75 x ( 1 - 0.85)

= 0.1125

<h3>Probability that Kevin doesn't have diabetes and the test predicts this</h3>

= Probability that Kevin doesn't have diabetes x Accuracy of test

= ( 1 - 0.75) x 0.85

= 0.2125

<h3>Probability that Kevin doesn't have diabetes and the test doesn't predicts this</h3>

= Probability that Kevin doesn't have diabetes x (1 - Accuracy of test )

= ( 1 - 0.75) x (1 - 0.85)

= 0.0375

In conclusion, the probability depends on the accuracy of the test and the probability of having diabetes.

Find out more on probability at brainly.com/question/6354635.

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