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3. What does Chebyshev's theorem with k=11 tells us about the number of heads that we may get in 900 flips of a balanced coin?

3. What does Chebyshev's theorem with k=11 tells us about the number of heads that we may get in 900 flips of a balanced coin?

4. In a county where factories have to be tested for the emission of pollutants, 32% of all factories emit excessive amounts of pollutants. When tested, 98% of all factories that emit excessive amount of pollutants will fail, but 21% of the cars that do not emit excessive amounts of pollutants will also fail. What is the probability that a car that fails the test actually emits excessive amounts of pollutants?

5. A sample of 900 commuters from New York were interviewed randomly and 416 answered they like express trains. Determine if the sample evidence shows that less than half of the commuters like express trains. Use =0.05.

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