Recent content by Micle

  1. M

    What's the PDF of a Unit Sphere Projection on the X-Axis?

    Hi Lanedance Thanks!
  2. M

    What's the PDF of a Unit Sphere Projection on the X-Axis?

    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 probability of R is uniform over the entire surface of a unit sphere, find the pdf of the projection of R on the...
  3. M

    Expectation of 2 random variable, E(|X-Y|^a)

    Thanks for your advice, let me try!
  4. M

    Expectation of 2 random variable, E(|X-Y|^a)

    The exercise doesn't tell that a is interger or real number, then I just consider it as real number. As your suggestion, I do following, Let Z = X-Y, where |Z|>0 and Z \in[-1,1] E[|Z|a] = \int^{1}_{-1}Zadz = \int^{1}_{0}Zadz - \int^{0}_{-1}Zadz = \frac{1}{a+1} - \frac{1}{a+1}(-1)a+1...
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    Expectation of 2 random variable, E(|X-Y|^a)

    Hi, anyone help please. Let X and Y are independent uniform random variables over the interval [0,1] E[|X-Y|a]=? where, a>0