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Math Help - Normal distribution problem

  1. #1
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    Normal distribution problem

    Probability Problem

    I have a question on the following problem:

    The number of tons of ore produced in a mine every week is a random variable with mean 10 and standard deviation 16. If production is observed for 64 weeks, calculate:

    For the mine is closed, the average production during the 64 weeks should be at least 14 tons. What is the probability that the mine be closed?

    I did the following:

    Calculate the probability that the average is above 14. In this case, use:

    Z = \displaystyle\frac{X - \mu}{\sigma_x} = \displaystyle\frac{\overline{X} - \mu}{\displaystyle\frac{\sigma}{\sqrt[ ]{n}}}

    where, \overline{X} = 14Substituting, we find that z = 2 With this finds your chance.

    is right or wrong?

    Thank you very much as always ...

    A big welcome
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  2. #2
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    Quote Originally Posted by Dogod11 View Post
    Probability Problem

    I have a question on the following problem:

    The number of tons of ore produced in a mine every week is a random variable with mean 10 and standard deviation 16. If production is observed for 64 weeks, calculate:

    For the mine is closed, the average production during the 64 weeks should be at least 14 tons. What is the probability that the mine be closed?

    I did the following:

    Calculate the probability that the average is above 14. In this case, use:

    Z = \displaystyle\frac{X - \mu}{\sigma_x} = \displaystyle\frac{\overline{X} - \mu}{\displaystyle\frac{\sigma}{\sqrt[ ]{n}}}

    where, \overline{X} = 14Substituting, we find that z = 2 With this finds your chance.

    is right or wrong?

    Thank you very much as always ...

    A big welcome
    Your question reads in a disjointed way, but it looks like your solution is correct.
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  3. #3
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    Thanks

    Ok. yeah think so,


    Many thanks,

    see you soon.
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