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A certain medical test is known to detect 66% of the people who are afflicted with the disease Y. If 10 people with the disease

A certain medical test is known to detect 66% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:

All 10 have the disease, rounded to four decimal places?

At least 8 have the disease, rounded to four decimal places?

At most 4 have the disease, rounded to four decimal places?

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