Question In a sheep breeding farm, an estimated 40% of the sheep suffer from a certain disease. A test for this disease is available. If a sheep is not ill. it has 9 chances out of 10 to react negatively to the test; if it is ill, it has 8 chances out of 10 to have a positive reaction. All the sheep in the farm are submitted to the test. Consider the following The event "the sheep is ill" will be denoted by M, and the event "the sheep has a positive reaction" by T. The text gives P(M)= 0.4. P(TIM)=0.9, What proportion of the sheep has a positive reaction 0.31 0.24 None of the other answers is correct. 0.38 POIM)-08

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Author:Amos Gilat
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Question*
In a sheep breeding farm, an estimated 40% of the sheep suffer from a certain disease. A
test for this disease is available. If a sheep is not ill, it has 9 chances out of 10 to react
negatively to the test: if it is ill, it has 8 chances out of 10 to have a positive reaction. All
the sheep in the farm are submitted to the test. Consider the following:
The event "the sheep is ill" will be denoted by M. and the event "the sheep has a positive
reaction" by T. The text gives:
P(M)= 0.4.
P(TIM)=0.9,
What proportion of the sheep has a positive reaction
0.31
0.24
None of the other answers is correct.
0.38
P(TIM)=0.8
Transcribed Image Text:Question* In a sheep breeding farm, an estimated 40% of the sheep suffer from a certain disease. A test for this disease is available. If a sheep is not ill, it has 9 chances out of 10 to react negatively to the test: if it is ill, it has 8 chances out of 10 to have a positive reaction. All the sheep in the farm are submitted to the test. Consider the following: The event "the sheep is ill" will be denoted by M. and the event "the sheep has a positive reaction" by T. The text gives: P(M)= 0.4. P(TIM)=0.9, What proportion of the sheep has a positive reaction 0.31 0.24 None of the other answers is correct. 0.38 P(TIM)=0.8
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