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Feb 25 at 18:20 comment added Christian Remling @user1172131: This will not be very simple in terms of the original variables. The intersection of the sphere with a hyperplane through the origin in another sphere of dimension one lower, so in suitable coordinates, you are dealing with the surface measure of a sphere.
Feb 25 at 16:15 comment added user1172131 Thank you @Christian Remling for your answer; what would be then the explicit of the p.d.f.?
Feb 18 at 20:11 history edited Christian Remling CC BY-SA 4.0
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Feb 18 at 20:03 history answered Christian Remling CC BY-SA 4.0