Recent content by BerriesAndCream

  1. BerriesAndCream

    I Expected value of X~Geom(p) given X+Y=z

    Could it be that since P(X=x|Z=z) = 1/(z-1), which is an uniform distribution, the expected value I'm looking for can simply be found by using the formula for the expected value of the uniform distribution? edit: I tried to do it that way, but I couldn't find the right answer. So i tried by...
  2. BerriesAndCream

    I Expected value of X~Geom(p) given X+Y=z

    1. E[X|Z=z] + E[Y|Z=z] = E[X+Y|Z=z] = E[Z|Z=z] = z? 2. Is there a way of knowing?
  3. BerriesAndCream

    I Expected value of X~Geom(p) given X+Y=z

    Hello everyone. If X, Y are two independent geometric random variables of parameter p, and Z=X+Y, what's E[X|Z=z]? I have calculated the distribution of P(Z=z) and I have then found that the conditional probability P(X=x|Z=z) equals 1/(z-1). How can I now find the conditioned expected value?
  4. BerriesAndCream

    I Can I visualize O(3) \ SO(3) in some way?

    Hello. I know that a 3×3 orthogonal matrix with determinant = 1 (so a 3×3 special orthogonal matrix) is a rotation in 3D. I was wondering if there is a 3×3 orthogonal matrix with determinant = –1 could be visualised in some way. Thank you!
  5. BerriesAndCream

    Calculating nth Term of Sequences: What Now?

    I don't understand what the question is asking. the nth term of the first sequence i can calculate to be -2n+4, while 2n-24 is the nth term for the second sequence. now what? The question isn't clear.
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