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anonymous

  • one year ago

Finding Probability Using a Normal Distribution The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3537 grams and a variance of 285,156. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4172 grams. Round your answer to four decimal places.

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  1. anonymous
    • one year ago
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    Been a while since I took stat, but I think this is a z-score problem

  2. anonymous
    • one year ago
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    Yes it is i need help desperately

  3. Lyrae
    • one year ago
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    Fundamental probability theory states: \[P_{\chi}(\chi \le x) = F_{\chi}(x)\]In this question \(\chi\) is distributed as a normal distribution with \(\mu = 3537\) and \(\sigma^2 = 285,156\). \(F_{\chi}(x)\) is the cumulative distribution function of \(\chi\), i.e. normalcdf.

  4. anonymous
    • one year ago
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    So how do i do it?

  5. anonymous
    • one year ago
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    So how do i do it?

  6. Lyrae
    • one year ago
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    Use a statistical calculator, Excel, wolfram alpha, etc. and use the cumulative distribution function for normal distribution (normalcdf) with given values for parameters x, \(\mu\) \(\sigma\).

  7. anonymous
    • one year ago
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    I dont understand what u just said at all

  8. anonymous
    • one year ago
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    I dont understand what u just said at all

  9. anonymous
    • one year ago
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    How do i find the standard deviation?

  10. Lyrae
    • one year ago
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    Use this: http://www.danielsoper.com/statcalc3/calc.aspx?id=53 Mean = \(\mu\) = 3537 Standard deviation = \(\sqrt{variance}\) = \(\sqrt{\sigma^2}\) = \(\sigma\) = \(\sqrt{285,156}\) x = 4172

  11. anonymous
    • one year ago
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    Im sorry i still dont understand. I dont get that calculator. There isnt a a place for me to put the variance in

  12. anonymous
    • one year ago
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    or is the variance the standard deviation?

  13. Lyrae
    • one year ago
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    standard deviation = \(\sqrt{variance}\)

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