A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. Find the probability that a given class period runs between 51.25 and 51.75 minutes.

Find the probability of selecting a class that runs between 51.25 and 51.75 minutes.

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Answer 1

Answer #1

\(X \sim U(46,56)\) is the random variable of the class duration (length) \(P(51.25 \leq X \leq 51.75)=\frac{51.75-51.25}{56-46}=0.05\) is the required probability

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Answer 2

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 55.0 minutes