Recent content by Millie

  1. M

    Image of 1/2 under gamma function

    curious out of curiousity, how do you prove that \Gamma(\frac{1}{2}) = \sqrt{\pi} ?
  2. M

    Distribution of minimum of random variables

    :redface: sorry my mistake.. they are independent rv... now the question is quite simple! thanks anyway! :blushing:
  3. M

    Is √5 + √3 Irrational by Contradiction?

    we can prove that √5 is irrational through contradiction and same applies for √3. but can we prove that √5 + √3 is irrational by contradiction?
  4. M

    How Do You Calculate Var(X) in a Conditional Variance Problem?

    :confused: I am not sure but it seems easier to calculate Var[X]= E[X^2]- (E[X])^2 you already have E[X]. you can try to calculate E[X^2] by conditioning on Y.
  5. M

    Distribution of minimum of random variables

    anyone's help would be really appreciated. I can't figure out that one. If X and Y are joint random variables, what is the joint distribution funtion of U=min(X,Y) and V=max(X,Y). I got something like 2[u(v-u) + ½u^2)] then how do i worked towards and expression for the marginal...
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