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Math Help - Inference for Proportions (AP Stats)

  1. #1
    Member WhoCares357's Avatar
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    Inference for Proportions (AP Stats)

    A can of pumpkin pie mix contains a mean of 30 ounces and a standard deviation of 2 ounces. The contents of the cans are normally distributed. What is the probability that four randomly selected cans of pumpkin pie mix contain a total of more than 126 ounces?
    We haven't really done anything like this in class (or I don't remember it..). Can anyone explain the procedure at least? I would solve it myself if I knew how.

    Thanks.
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    Quote Originally Posted by WhoCares357 View Post
    We haven't really done anything like this in class (or I don't remember it..). Can anyone explain the procedure at least? I would solve it myself if I knew how.

    Thanks.
    The sum of n independent normal random variables is also a normal random variable: Sum of normally distributed random variables - Wikipedia, the free encyclopedia

    In your case the mean is 4 (30) = 120 and the variance is 4 (2^2) = 16 => sd = 4.
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    Quote Originally Posted by mr fantastic View Post
    The sum of n independent normal random variables is also a normal random variable: Sum of normally distributed random variables - Wikipedia, the free encyclopedia

    In your case the mean is 4 (30) = 120 and the variance is 4 (2^2) = 16 => sd = 4.
    Thank you .
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