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Problems with Gaussian distribution

  1. May 22, 2013 #1
    1. The problem statement, all variables and given/known data

    consider this Gaussian distribution
    p(x)=Ae^-(a(x-b)^2)

    2. Relevant equations

    use integration p(x)dx=1 to find out the value of A

    3. The attempt at a solution

    hi, i know about the gaussian distribution formula integration e^-alpha*x^2 = sqrt(pi/alpha)

    now for this integration i just could not figure out what the alpha should be. as if i want to get the moderate Gaussian form i ended up with e^-x^2(a-2ba/x+b^2*a/x^2)

    as i could not get rid of x in my alpha term , can i still integrate it with the gaussian formula?
    if not , then how can i fix my alpha here containing no x terms?
    regards
     
  2. jcsd
  3. May 22, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    Do a change of variables, u=x-b. du=dx. Now integrate du instead of dx.
     
  4. May 23, 2013 #3
    wow! that helps.. thanks a lot
     
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