SOLUTION: the orange county department of public health tests water for contamination due to the presence of E.coli bacteria. To reduce laboratory costs, water samples from six public swimmi

Question 263705: the orange county department of public health tests water for contamination due to the presence of E.coli bacteria. To reduce laboratory costs, water samples from six public swimming areas are combined for one test, and further testing is done only if the combined sample fails. Based on past results, there is a 2% chance of finding E.coli bacteria in a public swimming area. Find tthe probbality that a combined sample from six public swimming area will reveal the presence of E.coli bacteria.
I have tried it so far.
Sample space=6
(2/100)*6= .12
I am not sure if its right, please any help?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the orange county department of public health tests water for contamination due to the presence of E.coli bacteria.
To reduce laboratory costs, water samples from six public swimming areas are combined for one test, and further testing is done only if the combined sample fails.
Based on past results, there is a 2% chance of finding E.coli bacteria in a public swimming area.
Find the probality that a combined sample from six public swimming area will reveal the presence of E.coli bacteria.
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If the six samples are combined and only one of them has
E.coli the combined sample will have show E.coli.
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P(show E. coli ) = 1 - P(none of the 6 samples has E.coli)
= 1 - (0.98)^6
= 1- 0.8858
= 0.1142
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Cheers,
Stan H.
============================
I have tried it so far.
Sample space=6
(2/100)*6= .12
I am not sure if its right, please any help?

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