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Question: A state uses standard braces for its highway bridges. The braces can handle a mean pressure of 5000 pounds per square inch, with a standard deviation of 800. Suppose twenty braces are tested at random throughout the state.

(a) What is the probability that their mean pressure tolerance is at least 4800 pounds per square inch?

(b) What is the probability that their mean pressure tolerance falls in the 4700-5100 range?

(c) What is the probability that their mean pressure tolerance is not less than 4500 pounds per square inch?

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