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Thread: Time Sample Space and Event

  1. #1
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    Time Sample Space and Event

    A telephone call from a certain person is received some time between 7:00 A.M. and 9:10 A.M. every day. Define a sample space for this phenomenon, and describe the event that the call arrives within 15 minutes of the hour.

    The sample space is straight forward S = {[7, 55/6]}, but the event is confusing me. Can anyone suggest a solution?


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  2. #2
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    Re: Time Sample Space and Event

    Quote Originally Posted by joshuaa View Post
    A telephone call from a certain person is received some time between 7:00 A.M. and 9:10 A.M. every day. Define a sample space for this phenomenon, and describe the event that the call arrives within 15 minutes of the hour. The sample space is straight forward S = {[7, 55/6]}, but the event is confusing me. Can anyone suggest a solution?
    I am confused by the term the hour.
    From $7 \text{ to }9:10$ is $130$ minuets.
    Do you know if that means 7am, 8am, or 9am? Or just one of those.
    If could mean $[7,7:15]\cup[7:45,8:15]\cup [8:45,9:10]$ But the wording is not clear.
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    Re: Time Sample Space and Event

    i think your approach is correct, but why you did not choose [7:15, 7:30]?

    i don’t understand why you choose [8:45, 9:10], isn’t that only within 10 minutes of the 9 hour, not within 15 minutes!!
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    Re: Time Sample Space and Event

    [7:15,7:30] is not within 15 min of the hour.

    Because you are told that the call takes place between 7:00 and 9:10, the period between 9:10 and 9:15 is not included.
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    Re: Time Sample Space and Event

    Quote Originally Posted by joshuaa View Post
    i think your approach is correct, but why you did not choose [7:15, 7:30]?
    i donít understand why you choose [8:45, 9:10], isnít that only within 10 minutes of the 9 hour, not within 15 minutes!!
    Well it is my reading of the phrase "The Hour". I take that to mean calls come in around 15 min. of the hour change.
    Within 15 min of seven; within 15 min of eight; or within 15 min of nine.
    The question specifies that call come in "between 7:00 A.M. and 9:10 A.M."
    Thus from $\displaystyle [7,7:15]$ around 7, $\displaystyle [7:45,8:15]$ around 8, & $\displaystyle [8:45,9:10]$ around 9.
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    Re: Time Sample Space and Event

    thanks guys. that's clear.
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