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Creating/Solving a cumulative distribution function?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg41768] Creating/Solving a cumulative distribution function?
  • From: "Jonathan Greenberg" <greenberg at ucdavis.edu>
  • Date: Wed, 4 Jun 2003 08:34:51 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi there, I was hoping one of you could help me out with a CDF problem I'm
having.  I have a PDF:

g[x_]:=(2/Pi)*(1-Cos[4x]) where x ranges from 0 Degree to 90 Degree

I understand the basic idea of a CDF, that I can integrate from 0 to some
arbitary value (y) between (0,90) to get the cumulative probability:

gcdf[x_]:=Evaluate[Integrate[g[x],{x,0Degree,x}]

I'd like to Solve for x, given:
gcdf[x]==Random[Real,0,1] where 0Degree>=x>=90Degree

Solve, NSolve and FindRoot don't appear to be working correctly -- can
someone give me a hand solving this equation?

--j


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