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During a season change, a pathologist observed that out of 10,000 people tested for viral fever, 1000 people were tested positive. Then the standard deviation for the distribution of positive reports is_______

Solution

✅ Correct Option: 1

Treat the reports as binomial with n=10000n=10000 and p=100010000=0.1p=\frac{1000}{10000}=0.1, so q=0.9q=0.9. Then the standard deviation is npq=10000×0.1×0.9=900=30\sqrt{npq}=\sqrt{10000\times0.1\times0.9}=\sqrt{900}=30.

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