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29 August, 03:09

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. if one such class is randomly selected, find the probability that the class length is less than 50.6 min.

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  1. 29 August, 03:37
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    The distribution is uniform for 50 ≤ x ≤ 52.

    where x = minutes per class.

    The probability P (x < 50.6) is the shaded portion of the distribution.

    Its value is

    (50.6 - 50) / (52 - 50) = 0.3

    Answer:

    The probability is 0.3 or 30%
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