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Thread: Probability Distribution

  1. #1
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    Probability Distribution

    A grocery has their employees stock groceries. The mean is 1100 pounds and a standard deviation of 100. If two employees are randomly selected what is the probability that the weight of groceries they stock will be less than 50 pounds.

    My best guess is :
    Normalcdf(1050, 1150, 1100, 100)
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  2. #2
    MHF Contributor

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    Re: Probability Distribution

    I thought I had already answered this.

    The sum of two random variables, one normally distributed with mean \mu_1 and standard deviation \sigma_1, the other with mean \mu_2 and standard deviation \sigma_2, is normally distributed with mean \mu_1+ \mu_2 and standard deviation \sqrt{\sigma_1^2+ \sigma_2^2}.

    What, exactly, is the statement of the problem? Your reference to "1050" and "1150" indicates that you are finding the probability a value is "within 50 points of the mean 1100" but what you have written is simply "less than 50" which is far from 1100!
    Last edited by HallsofIvy; Nov 17th 2016 at 12:17 PM.
    Thanks from topsquark
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