Question

36 Drag the tiles to the correct boxes to complete the pairs. Tests predict he has it 0.85 Test predicts he doesn't have it. 0.15 Test predicts he has it 0.15 Kevin has diabetes 0.75 Kevin doesn't have diabetes 0.25 Test predicts he doesn't have it 0.85 All rights reserved.

Answer 1

Solution

From the diagram

We have the following

$Kelvin\text{ has diabetes and test predict he has it}=0.75\times0.85=0.6375$

and

$Kelvin\text{ has diabetes and test predict he doesn't have it}=0.75\times0.15=0.1125$

and

$Kelvin\text{ doesn't }have\text{ }diabetes\text{ }and\text{ }test\text{ }predict\text{ }he\text{ }has\text{ }it=0.25\times0.15=0.0375$

and

$Kelvin\text{ doesn't }have\text{ }diabetes\text{ }and\text{ the }test\text{ doesn't }predict\text{ }he\text{ }has\text{ }it=0.25\times0.85=0.2125$