anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Been a while since I took stat, but I think this is a z-score problem
anonymous
  • anonymous
Yes it is i need help desperately
Lyrae
  • Lyrae
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.

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anonymous
  • anonymous
So how do i do it?
anonymous
  • anonymous
So how do i do it?
Lyrae
  • Lyrae
Use a statistical calculator, Excel, wolfram alpha, etc. and use the cumulative distribution function for normal distribution (normalcdf) with given values for parameters x, \(\mu\) \(\sigma\).
anonymous
  • anonymous
I dont understand what u just said at all
anonymous
  • anonymous
I dont understand what u just said at all
anonymous
  • anonymous
How do i find the standard deviation?
Lyrae
  • Lyrae
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
anonymous
  • anonymous
Im sorry i still dont understand. I dont get that calculator. There isnt a a place for me to put the variance in
anonymous
  • anonymous
or is the variance the standard deviation?
Lyrae
  • Lyrae
standard deviation = \(\sqrt{variance}\)

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