Lexie is waiting for a train. If X is the amount of time before the next train arrives, and X is uniform with values between 4 and 11 minute

Question

Lexie is waiting for a train. If X is the amount of time before the next train arrives, and X is uniform with values between 4 and 11 minutes, then what is the average (mean) time for how long she will wait

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Sapo 4 years 2021-08-14T09:32:18+00:00 1 Answers 23 views 0

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  1. Sigrid
    0
    2021-08-14T09:34:06+00:00
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    Answer:

    The average (mean) time for her to wait is 7.5 minutes before the arrival of the next train.

    Explanation:

    The values between 4 and 11 minutes are: 5, 6, 7, 8, 9, and 10.

    Since X has a uniform value between 4 and 11, then

              average time  =  \frac{5+ 6+ 7+ 8+ 9+ 10}{6}

                                      =  \frac{45}{6}

                                      = 7.5

    The average time for Lexie to wait for the next train would be 7.5 minutes.

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