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The surface of a unit sphere

  1. Mar 3, 2009 #1
    Please help, I have an assignment's question but I don't idea how to work on it. The question is that:

    Let R be a unit random vector points on the surface of a unit sphere. If the probabilty of R is uniform over the entire surface of a unit sphere, find the pdf of the projection of R on the x-axis

    any idea to do so?
     
  2. jcsd
  3. Mar 4, 2009 #2

    lanedance

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    Hi Micle

    so in this example area/total sphere area is probability to find your vector within the given area

    so the probability of having a projection will be related to the area area/total sphere area for a given dx incremnent at that position
     
  4. Mar 9, 2009 #3
    Hi Lanedance

    Thanks!
     
  5. Mar 9, 2009 #4

    lanedance

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    cheers
     
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