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Math Help - Probability Question

  1. #1
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    Question Probability Question

    WNAE, an all-news, all-the-time station, finds that the distribution of the length of time listeners are tuned to the station is normal, with a mean of 15 minutes and a standard deviation of 3.5 minutes. What is the probability that a particular listener will tune for:

    a. More than 20 minutes?
    b. For 20 minutes, or less?
    c. For between 10 and 12 minutes.
    I know the mean and standard deviation listed above, but I do not know how to get to the probability with the answers to the following...
    PLEASE HELP!!!!
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  2. #2
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    Quote Originally Posted by kendrick02 View Post
    WNAE, an all-news, all-the-time station, finds that the distribution of the length of time listeners are tuned to the station is normal, with a mean of 15 minutes and a standard deviation of 3.5 minutes. What is the probability that a particular listener will tune for:

    a. More than 20 minutes?
    b. For 20 minutes, or less?
    c. For between 10 and 12 minutes.
    I know the mean and standard deviation listed above, but I do not know how to get to the probability with the answers to the following...
    PLEASE HELP!!!!
    a. X = 20 => Z = 10/7. Therefore Pr(X > 20) = Pr(Z > 10/7) = 1 - Pr(Z < 10/7) = 1 - Pr(Z < 1.4286). Get Pr(Z < 1.4286) from your tables.

    b. and c. are done in a similar way. So please show what you try and where you get stuck.
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