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14 September, 15:54

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes. Find the probability that a given class period runs between 51.5 and 51.75 minutes.

Find the probability of selecting a class that runs between 51.5 and 51.75 minutes.

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  1. 14 September, 16:10
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    Given:

    Uniform distribution of length of classes between 45.0 to 55.0 minutes.

    To determine the probability of selecting a class that runs between 51.5 to 51.75 minutes, find the median of the given upper and lower limit first:

    45+55/2 = 50

    So the highest number of instances is 50-minute class. If the probability of 50 is 0.5, then the probability of length of class between 51.5 to 51.75 minutes is near 0.5, approximately 0.45.
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