A test for a virus correctly identifies someone who has the virus (by returning a positive result) 99% of the time. The overall population is 1,000,000 people. The test correctly identifies someone who does not have the virus (by returning a negative result) 99% of the time. It is known that 0.5% of the population has the virus. A doctor decides to treat anyone who tests positive for the virus. Is this a good decision?

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A test for a virus correctly identifies someone who has the virus (by returning a positive result) 99% of the time. The overall population is 1,000,000 people. The test correctly identifies someone who does not have the virus (by returning a negative result) 99% of the time. It is known that 0.5% of the population has the virus. A doctor decides to treat anyone who tests positive for the virus. Is this a good decision?

Mathematics
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|dw:1437356833995:dw|
`It is known that 0.5% of the population has the virus` `The overall population is 1,000,000 people` how many people have the virus?
500,000?

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0.5% = 0.005 multiply 0.005 by 1 million
5000
yep so 995,000 don't have the virus
|dw:1437357954036:dw|
`A test for a virus correctly identifies someone who has the virus (by returning a positive result) 99% of the time` so if you have the virus, then there is a 99% chance that the test gets it right that means 0.99*5000 = 4,950 people will get tested positive (the ones who have the virus) |dw:1437358056159:dw|
1% will test negative 0.01*5000 = 50 |dw:1437358100248:dw|
`The test correctly identifies someone who does not have the virus (by returning a negative result) 99% of the time` 99% of (total who don't have virus) = 0.99*995,000 = 985,050 |dw:1437358184431:dw|
what goes in the box with the question mark |dw:1437358210567:dw|
9950 people
I can take it from here thanks!
no problem

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