SOLUTION: If we inspect paper by drawing 5 sheets (without replacement) from every batch of 1000, what is the probability of getting 5 clean sheets even though 2 ⁢ % of the sheets cont

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Question 906433: If we inspect paper by drawing 5 sheets (without replacement) from every batch of 1000, what is the probability of getting 5 clean sheets even though 2 ⁢ % of the sheets contain spots?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If we inspect paper by drawing 5 sheets (without replacement) from every batch of 1000, what is the probability of getting 5 clean sheets even though 2 ⁢ % of the sheets contain spots?
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# of spotted in 1000 = 0.02*1000 = 20 ; # of clean = 980
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# of ways to draw 5 clean = 980C5
# of ways to draw 5 randomly = 1000C5 =
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P(5 clean) = 980C5/1000C5 = 0.9037
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Cheers,
Stan H.
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